close
1.

図書
図書
1. Differential geometry and topology
A.T. Fomenko ; translated from Russian by D.A. Leites
出版情報: New York : Consultants Bureau, c1987  xiii, 323 p. ; 24 cm
シリーズ名: Contemporary Soviet mathematics
所蔵情報: loading…
2.

図書
図書
2. Algorithmic and computer methods for three-manifolds
by A.T. Fomenko and S.V. Matveev
出版情報: Dordrecht : Kluwer Academic, c1997  xii, 334 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 425
所蔵情報: loading…
3.

図書
図書
3. Topological modeling for visualization
A.T. Fomenko, T.L.Kunii
出版情報: Tokyo : Springer, c1997  x, 395 p. ; 25 cm
所蔵情報: loading…
4.

図書
図書
4. Symplectic geometry. 2nd ed
A.T. Fomenko ; translated from the Russian by R.S. Wadhwa
出版情報: New York ; Tokyo : Gordon and Breach, 1995  xv, 467 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 5
所蔵情報: loading…
5.

図書
図書
5. Mathematical impressions
Anatoliĭ T. Fomenko ; with the writing assistance of Richard Lipkin
出版情報: Providence, R.I. : American Mathematical Society, c1990  184 p. ; 29 cm
所蔵情報: loading…
6.

図書
図書
6. Elements of the geometry and topology of minimal surfaces in three-dimensional space
A.T. Fomenko, A.A. Tuzhilin
出版情報: Providence, R.I. : American Mathematical Society, c1991  vii, 142 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 93
所蔵情報: loading…
7.

図書
図書
7. Variational problems in topology : the geometry of length, area and volume
A.T. Fomenko
出版情報: New York : Gordon and Breach Science Publishers, c1990  x, 225 p. ; 24 cm
所蔵情報: loading…
8.

図書
図書
8. Integrability and nonintegrability in geometry and mechanics
A.T. Fomenko
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1988  xv, 343 p. ; 25 cm
シリーズ名: Mathematics and its applications ; Soviet series
所蔵情報: loading…
9.

図書
図書
9. Symplectic geometry
A.T. Fomenko ; translated from the Russian by R.S. Wadhwa
出版情報: New York ; Tokyo : Gordon and Breach, c1988  xiii, 387 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 5
所蔵情報: loading…
10.

図書
図書
10. Integrable Hamiltonian systems : geometry, topology, classification
A.V. Bolsinov and A.T. Fomenko
出版情報: Boca Raton, Fla. : Chapman & Hall/CRC, c2004  xv, 730 p. ; 25 cm
所蔵情報: loading…
11.

図書
図書
11. Homotopic topology
by A.T. Fomenko, D.B. Fuchs and V.L. Gutenmacher ; [translated by K. Mályusz]
出版情報: Budapest : Akadémiai Kiadó, 1986  310 p. ; 25 cm
所蔵情報: loading…
12.

図書
図書
12. The geometry of surfaces, transformation groups, and fields (: us ; : gw)
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns
出版情報: New York ; Berlin ; Tokyo : Springer-Verlag, c1984  xv, 464 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 93 . { Modern geometry : methods and applications / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns } ; pt. 1
Springer series in Soviet mathematics
所蔵情報: loading…
13.

図書
図書
13. Variational principles of topology : multidimensional minimal surface theory
by A.T. Fomenko
出版情報: Dordrecht [Netherlands] ; Boston : Kluwer Academic, c1990  xviii, 374 p. ; 25 cm
シリーズ名: Mathematics and its applications ; Soviet series ; v. 42
所蔵情報: loading…
14.

図書
図書
14. Basic elements of differential geometry and topology
by S.P. Novikov and A.T. Fomenko ; [translated from the Russian by M. Tsaplina]
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1990  x, 490 p. ; 25 cm
シリーズ名: Mathematics and its applications ; . Soviet series ; v. 60
所蔵情報: loading…
15.

図書
図書
15. Minimal surfaces
A.T. Fomenko, editor
出版情報: Providence, Rhode Island : American Mathematical Society, c1993  ix, 342 p. ; 26 cm
シリーズ名: Advances in Soviet mathematics ; v. 15
所蔵情報: loading…
目次情報: 続きを見る
Minimization of length, area, and volume
Some solved and some unsolved problems in the theory of minimal graphs and surfaces / A. T. Fomenko
The Steiner problem for convex boundaries, I: The general case / A. O. Ivanov ; A. A. Tuzhilin
The Steiner problem for convex boundaries, II: The regular case
Effective calibrations in the theory of minimal surfaces / L. H. Van
Minimal cones invariant under adjoint actions of compact Lie groups / I. S. Novikova
Global properties of minimal surfaces in ${\mathbb R}^3$ and ${\mathbb H}^3$ and their Morse type indices
Calibration forms and new examples of globally minimal surfaces
Ruled special Lagrangian surfaces / A. Borisenko
Functional-topological properties of the Plateau operator and applications to the study of bifurcations in problems of geometry and hydrodynamics / A. Yu. Borisovich
Harmonic maps into Lie groups and the multivalued Novikov functional / A. V. Tyrin
Minimization of length, area, and volume
Some solved and some unsolved problems in the theory of minimal graphs and surfaces / A. T. Fomenko
The Steiner problem for convex boundaries, I: The general case / A. O. Ivanov ; A. A. Tuzhilin
16.

図書
図書
16. Integrable systems on Lie algebras and symmetric spaces
by A.T. Fomenko and V.V. Trofimov ; translated from the Russian by A. Karaulov, P.D. Rayfield, and A. Weisman
出版情報: New York ; Tokyo : Gordon and Breach Science Publishers, c1988  xii, 294 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 2
所蔵情報: loading…
17.

図書
図書
17. The geometry of surfaces, transformation groups, and fields. 2nd ed (: U.S ; : Germany)
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns
出版情報: New York ; Tokyo : Springer-Verlag, c1992  xv, 468 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 93 . { Modern geometry : methods and applications / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns } ; pt. 1
Springer series in Soviet mathematics
所蔵情報: loading…
目次情報: 続きを見る
Geometry in Regions of a Spaces. Basic Concepts / 1：
The Theory of Surfaces / 2：
Tensors: The Algebraic Theory / 3：
The Differential Calculus of Tensors / 4：
The Elements of the Calculus of Variations / 5：
The Calculus of Variations in Several Dimensions / 6：
Geometry in Regions of a Spaces. Basic Concepts / 1：
The Theory of Surfaces / 2：
Tensors: The Algebraic Theory / 3：
18.

図書
図書
18. Topological classification of integrable systems
A.T. Fomenko, editor
出版情報: Providence, R.I. : American Mathematical Society, c1991  vi, 345 p. ; 26 cm
シリーズ名: Advances in Soviet mathematics ; v. 6
所蔵情報: loading…
目次情報: 続きを見る
The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom)
Molecular table of all integrable systems with two degrees of freedom / A. T. Fomenko
Integrable Hamiltonian systems in analytic dynamics and mathematical physics / G. G. Okuneva
Fomenko invariants for the main integrable cases of the rigid body motion equations / A. A. Oshemkov
Methods of calculation of the Fomenko-Zieschang invariant / A. V. Bolsinov
Topological invariants for some algebraic analogs of the Toda lattice / L. S. Polyakova
Topological classification of integrable Bott geodesic flows on the two-dimensional torus / E. N. Selivanova
On the complexity of integrable Hamiltonian systems on three-dimensional isoenergy submanifolds / T. Z. Nguyen
Symplectic connections and Maslov-Arnold characteristic classes / V. V. Trofimov
Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere
Description of the structure of Fomenko invariants on the boundary and inside $Q$-domains, estimates of their number on the lower boundary for the manifolds $S^3$, $\Bbb R P^3$, $S^1\times S^2$, and $T^3$ / V. V. Kalashnikov
Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds
Application to classical mechanics
The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom)
Molecular table of all integrable systems with two degrees of freedom / A. T. Fomenko
Integrable Hamiltonian systems in analytic dynamics and mathematical physics / G. G. Okuneva
19.

図書
図書
19. Minimal surfaces, stratified multivarifolds, and the Plateau problem
Đào Trọng Thi, A.T. Fomenko
出版情報: Providence, R.I. : American Mathematical Society, c1991  ix, 404 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 84
所蔵情報: loading…
目次情報: 続きを見る
Historical survey and Introduction to the classical theory of minimal surfaces
Information about some topological facts used in the modern theory of minimal surfaces
The modern state of the theory of minimal surfaces
The multidimensional Plateau problem in the spectral class of all manifolds with a fixed boundary Multidimensional minimal surfaces and harmonic maps
Multidimensional variational problems and multivarifolds
The solution of Plateau's problem in the homotopy class of a map of a multivarifold
The space of multivarifolds
Parametrizations and parametrized multivarifolds
Problems of minimizing generalized integrands in classes of parametrizations and parametrized multivarifolds.
A criterion for global minimality
Criteria for global minimality
Globally minimal surfaces in regular orbits of the adjoint representation of the classical Lie groups
Historical survey and Introduction to the classical theory of minimal surfaces
Information about some topological facts used in the modern theory of minimal surfaces
The modern state of the theory of minimal surfaces
20.

図書
図書
20. Introduction to homology theory (: us ; : gw)
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns
出版情報: New York ; Tokyo : Springer-Verlag, c1990  ix, 416 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 124 . Modern geometry : methods and applications / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns ; pt. 3
Springer series in Soviet mathematics
所蔵情報: loading…
目次情報: 続きを見る
Homology and Cohomology; Computational Recipes
Critical Points of Smooth Functions and Homology Theory
Cobordisms and Smooth Structures
Bibliography
Appendix 1, 2
Index
Homology and Cohomology; Computational Recipes
Critical Points of Smooth Functions and Homology Theory
Cobordisms and Smooth Structures
21.

図書
図書
21. The geometry and topology of manifolds (: us ; : gw)
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns
出版情報: New York ; Berlin : Springer-Verlag, c1985  xv, 430 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 104 . { Modern geometry : methods and applications / B.A. Dubrovin, A.T. Fomenko, S.P. Novikov ; translated by Robert G. Burns } ; pt. 2
Springer series in Soviet mathematics
所蔵情報: loading…
22.

図書
図書
22. 微分幾何学とトポロジー
A.T. Fomenko著 ; 三村護訳
出版情報: 東京 : 共立出版, 1996.11  xi, 392p ; 22cm
所蔵情報: loading…
23.

図書
図書
23. ホモトピー論 : 幻想の世界から位相幾何学へ
A.T. Fomenko, D.B. Fuchs, V.L.Gutenmacher著 ; 三村護訳編
出版情報: 東京 : 共立出版, 1989.6  iv, 350p ; 22cm
所蔵情報: loading…
24.

図書
図書
24. Integrable geodesic flows on two-dimensional surfaces
A.V. Bolsinov and A.T. Fomenko
出版情報: New York : Consultants Bureau, c2000  xiii, 322 p. ; 26 cm
シリーズ名: Monographs in contemporary mathematics
所蔵情報: loading…
目次情報: 続きを見る
Basic Notions / Chapter 1.：
Linear Symplectic Geometry / 1.1.：
Symplectic and Poisson Manifolds / 1.2.：
Cotangent Bundles / 1.2.1.：
Orbits of Coadjoint Representation / 1.2.2.：
Local Properties of Symplectic Manifolds / 1.3.：
Liouville Integrable Hamiltonian Systems. Liouville Theorem / 1.4.：
Nonresonant and Resonant Systems / 1.5.：
Rotation Number / 1.6.：
Momentum Mapping of an Integrable Hamiltonian System and Its Bifurcation Diagram / 1.7.：
Nondegenerate Singularities of the Momentum Mapping and Bott Functions / 1.8.：
Bott Integrals from the Point of View of the Four-Dimensional Symplectic Manifold / 1.9.：
Main Types of Equivalence of Dynamical Systems / 1.10.：
Topology of Foliations Generated by Morse Functions on Two-Dimensional Surfaces / Chapter 2.：
Simple Morse Functions / 2.1.：
Reeb Graph of a Morse Function / 2.2.：
Concept of an Atom / 2.3.：
Simple Molecules / 2.4.：
Complicated Atoms / 2.5.：
Classification of Atoms / 2.6.：
Notion of a Molecule / 2.7.：
Approximation of Complicated Molecules by Simple Ones / 2.8.：
Rough Liouville Equivalence of Integrable Systems with Two Degrees of Freedom / Chapter 3.：
Classification of Nondegenerate Critical Submanifolds on Isoenergy 3-Surfaces / 3.1.：
The Topological Structure of a Neighborhood of a Singular Leaf / 3.2.：
Topologically Stable Hamiltonian Systems / 3.3.：
2-Atoms and 3-Atoms / 3.4.：
Classification of 3-Atoms / 3.5.：
3-Atoms as Bifurcations of Liouville Tori / 3.6.：
The Molecule of an Integrable System / 3.7.：
Liouville Equivalence of Iintegrable Systems with Two Degrees of Freedom / Chapter 4.：
Admissible Coordinate Systems on the Boundary of a 3-Atom / 4.1.：
Gluing Matrices and Superfluous Frames / 4.2.：
Invariants (Numerical Marks) r, [varepsilon], and n / 4.3.：
Marks r[subscript i] and [varepsilon subscript i] / 4.3.1.：
Marks n[subscript k] and Families in a Molecule / 4.3.2.：
The Marked Molecule / 4.4.：
Influence of the Orientation / 4.5.：
Change of the Orientation on an Edge of the Molecule / 4.5.1.：
Change of the Orientation on a 3-Manifold Q / 4.5.2.：
Change of the Orientation of a Hamiltonian Vector Field / 4.5.3.：
Realization Theorem / 4.6.：
Simple Examples of Molecules / 4.7.：
Hamiltonian Systems with Critical Klein Bottles / 4.8.：
Trajectory Classification of Integrable Systems with Two Degrees of Freedom / Chapter 5.：
Rotation Function and Rotation Vector / 5.1.：
Reduction of the Three-Dimensional / 5.2.：
Transversal Sections / 5.2.1.：
Poincar%e Flow and Poincar%e Hamiltonian / 5.2.2.：
Reduction Theorem / 5.2.3.：
General Concept of Constructing Trajectory Invariants of Integrable Hamiltonian Systems / 5.3.：
Integrable Geodesic Flows on Two-Dimensional Surfaces / Chapter 6.：
Statement of the Problem / 6.1.：
Topological Obstructions to Integrability of Geodesic Flows on Two-Dimensional Surfaces / 6.2.：
Two Examples of Integrable Geodesic Flows / 6.3.：
Surfaces of Revolution / 6.3.1.：
Liouville Metrics / 6.3.2.：
Riemannian Metrics Whose Geodesic Flows are Integrable by Means of Linear or Quadratic Integrals Local Theory / 6.4.：
Some General Properties of Polynomial Integrals of Geodesic Flows. Local Theory / 6.4.1.：
Riemannian Metrics Whose Geodesic Flows Admit a Linear Integral. Local Theory / 6.4.2.：
Riemannian Metrics Whose Geodesic Flows Admit a Quadratic Integral. Local Theory / 6.4.3.：
Linearly and Quadratically Integrable Geodesic Flows on Closed Surfaces / 6.5.：
Torus / 6.5.1.：
Klein Bottle / 6.5.2.：
Sphere / 6.5.3.：
Projective Plane / 6.5.4.：
Liouville Classification of Integrable Geodesic Flows on Two-Dimensional Surface / Chapter 7.：
Liouville Classification of Linearly and Quadratically Integrable Geodesic Flows on the Torus / 7.1.：
Liouville Classification of Linearly and Quadratically Integrable Geodesic Flows on the Klein Bottle / 7.2.：
Quadratically Integrable Geodesic Flow on the Klein Bottle / 7.2.1.：
Linearly Integrable Geodesic Flows on the Klein Bottle / 7.2.2.：
Quasi-Linearly Integrable Geodesic Flows on the Klein Bottle / 7.2.3.：
Quasi-Quadratically Integrable Geodesic Flows on the Klein Bottle / 7.2.4.：
Liouville Classification of Linearly and Quadratically Integrable Geodesic Flows on the Two-Dimensional Sphere / 7.3.：
Quadratically Integrable Geodesic Flows on the Sphere / 7.3.1.：
Linearly Integrable Geodesic Flows on the Sphere / 7.3.2.：
Liouville Classification of Linearly and Quadratically Integrable Geodesic Flows on the Projective Plane / 7.4.：
Quadratically Integrable Geodesic Flows on the Projective Plane / 7.4.1.：
Linearly Integrable Geodesic Flows on the Projective Plane / 7.4.2.：
Trajectory Classification of Integrable Geodesic Flows on Two-Dimensional Surfaces / Chapter 8.：
Case of the Torus / 8.1.：
Flows with Simple Bifurcations (Atoms) / 8.1.1.：
Flows With Complicated Bifurcations (Atoms) / 8.1.2.：
Case of the Sphere / 8.2.：
Examples of Integrable Geodesic Flows on the Sphere / 8.3.：
The Triaxial Ellipsoid / 8.3.1.：
The Standard Sphere / 8.3.2.：
Poisson Sphere / 8.3.3.：
Non-Triviality of Trajectory Equivalence Classes and Metrics with Closed Geodesics / 8.4.：
Maupertuis Principle and Geodesic Equivalence / Chapter 9.：
General Maupertuis Principle / 9.1.：
Maupertuis Principle in Rigid Body Dynamics / 9.2.：
Maupertuis Principle and an Explicit Form of the Metric on the Sphere, Generated by a Quadratic Hamiltonian on the Lie Algebra e(3) / 9.3.：
Classical Cases of Integrability in Rigid Body Dynamics and Related Integrable Geodesic Flows on the Sphere / 9.4.：
Euler Case and the Poisson Sphere / 9.4.1.：
Lagrange Case and Metrics of Revolution / 9.4.2.：
Clebsch Case and Geodesic Flow on the Ellipsoid / 9.4.3.：
Goryachev-Chaplygin Case and the Corresponding Integrable Geodesic Flow on the Sphere / 9.4.4.：
Kovalevskaya Case and the Corresponding Integrable Geodesic Flow on the Sphere / 9.4.5.：
Conjecture on Geodesic Flows with Integrals of High Degree / 9.5.：
Dini Theorem and the Geodesic Equivalence of Riemannian Metrics / 9.6.：
Generalized Dini-Maupertuis Principle / 9.7.：
Trajectory Equivalence of the Neumann Problem and Jacobi Problem / 9.8.：
Explicit Forms of Some Remarkable Hamiltonians and Their Integrals in Separating Variables / 9.9.：
Euler Case in Rigid Body Dynamics and Jacobi Problem About Geodesics on the Ellipsoid. Trajectory Isomorphism / Chapter 10.：
Introduction / 10.1.：
Jacobi Problem and Euler Case / 10.2.：
Liouville Foliations / 10.3.：
Rotation Functions / 10.4.：
The Main Theorem / 10.5.：
Smooth Invariants / 10.6.：
Topological Non-Conjugacy of the Jacobi Problem and the Euler Case / 10.7.：
Index
Basic Notions / Chapter 1.：
Linear Symplectic Geometry / 1.1.：
Symplectic and Poisson Manifolds / 1.2.：
文献の複写および貸借の依頼を行う
 文献複写・貸借依頼