1.
図書
edited by Keith M. Ball, Vitali Milman
2.
図書
by Anastasios Mallios
目次情報:
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General Preface (to both Volumes, I, II)
Preface (to Volume I)
Acknowledgements
Contents of Volume II
Vector Sheaves. General Theory / Part 1：
Sheaf Theory / Chapter I.：
Preliminaries. Definitions / 1.：
Sections of a sheaf / 2.：
A sheaf is its sections. Defining families of sections / 3.：
Examples. Germs and sheaves / 4.：
The sheaf of germs of locally constant functions. The constant sheaf / 4.(a).：
The sheaf of germs of continuous functions / 4.(b).：
Sheaves of germs of C[superscript infinity]-functions and of holomorphic ones / 4.(c).：
Presheaves. Basic definitions / 5.：
Morphisms of presheaves / 6.：
Stalks of a presheaf. Sheafification, or sheaf generated by a presheaf / 7.：
The sheafification functor / 8.：
Presheaf of sections of a sheaf. The section functor / 9.：
Further examples of presheaves / 10.：
The constant presheaf / 10.(a).：
Presheaves of functions / 10.(b).：
Complete presheaves. Examples / 11.：
Morphisms of presheaves (contn'd) / 12.：
The section functor and its (left) adjoint: The sheafification functor (contn'd) / 13.：
Change of base space / 14.：
The direct image (or push-out) functor / 14.(a).：
Inverse image (or pull-back) functor / 14.(b).：
Sheaves and Presheaves with Algebraic Structure / Chapter II.：
Preliminaries. Basic definitions
Sheaves with algebraic structures. A-modules / 1.(a).：
Presheaves with algebraic structure. A-presheaves / 1.(b).：
Section-wise definition of algebraic structure in a given sheaf (of sets) / 1.(c).：
A-morphisms. Exact sequences
Morphisms of A-presheaves / 2.(a).：
Quotients of A-modules / 2.(b).：
The (left) exactness of the section functor / 2.(c).：
Change of base space. The direct, resp. inverse, image functors for A-modules and A-presheaves / 2.(d).：
Direct (or Whitney) sum of A-modules. Free A-modules
Locally free A-modules. Vector sheaves
Tensor products of A-modules
The functor Hom[subscript A]
Sheaf Cohomology / 6.(a).：
Preliminaries. Fundamental concepts
Derived functors
Derived functor cohomology
Cech cohomology
The directed set of (proper) open coverings of a given topological space
Cech cochain complex
Passage to the limit
Leray's Theorem / 4.(d).：
Lifting of cocycles
Passage to the limit (of liftable cocycles) / 5.(a).：
Long exact sequences in Cech cohomology (contn'd) / 5.(b).：
Cech cohomolgy with coefficients in a presheaf
Long exact (Cech) cohomology sequence for presheaves
Cech cohomology for presheaves on paracompact spaces / 6.(b).：
Cohomology of double complexes. Hypercohomology
Cech hypercohomology / 7.(a).：
Cohomology theories in action. (Interrelations)
Fine resolutions. De Rham cohomology / 8.(a).：
The functors Ext[subscript A] and Ext[subscript A]
The functor Ext[subscript A] / 9.(a).：
A-extensions / 9.(b).：
Ext[superscript 1 subscript A] and A-extensions
The 1st cohomology set
0-dimensional (non-abelian) cohomology / 11.(a).：
Linear and Multilinear Algebra of Vector Sheaves / Chapter IV.：
Classical group sheaves
A (full) matrix algebra sheaf
The general linear group sheaf
An example
Free A-modules (contn'd)
Matrix representations of A-morphisms / 3.(a).：
The determinant morphism
Dual A-modules
Certain basic formulae relating the functors Hom[subscript A] and Hom[subscript A]
Exterior algebra of A-modules
Determinant line sheaf
Riemannian A-modules
Positive partitions of unity
Hermitian A-modules
Gram-Schmidt orthogonalization
Volume element
The Hodge (or * -) operator
Vector Sheaves and Cohomology / Chapter V.：
Vector sheaves and 1-cocycles / 1：
Section-wise definition of being a vector sheaf locally free
Cohomological classification of vector sheaves
Geometrical meaning of the 1st cohomology set (a la Grothendieck)
Examples
Behaviour of vector sheaves in cohomology
Line sheaves. The Picard group
The determinant morphism (contn'd)
Flat vector sheaves
Line sheaves and Chern classes
The functors Ext[subscript A] and Ext[subscript A] (contn'd)
Splittings of A-extensions (contn'd)
Dual A-extensions
Classical group sheaves (contn'd)
The orthogonal group sheaf
The unitary group sheaf
Category jargon / Appendix.：
Bibliography
Notational Index
Subject Index
General Preface (to both Volumes, I, II)
Preface (to Volume I)
Acknowledgements
3.
図書
by Anastasios Mallios
4.
図書
Chuan-Chih Hsiung
出版情報:
Cambridge, MA : International Press, c1997 xvi, 343 p. ; 24 cm
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5.
図書
Keti Tenenblat
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Preface
Transformations of surfaces and applications / I：
Submanifolds of constant Sectional curvature / II：
Pseudo-spherical geodesic congruences and applications / III：
The generating equation / IV：
The generating intrinsic equation / V：
Laplace transformation in higher dimensions / VI：
References
Index
Preface
Transformations of surfaces and applications / I：
Submanifolds of constant Sectional curvature / II：
6.
図書
N.P. Landsman
7.
図書
Sorin Dragomir, Liviu Ornea
8.
図書
Yuri Gliklikh ; translated by Viktor L. Ginzburg
9.
図書
Yuri I. Manin ; translated from the Russian by N. Koblitz and J.R. King ; with an appendix by Sergei Merkulov
10.
図書
R.W. Sharpe ; foreword by S.S. Chern
目次情報:
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In the Ashes of the Ether: Differential Topology
Looking for the Forest in the Leaves: Folations
The Fundamental Theorem of Calculus
Shapes Fantastic: Klein Geometries
Shapes High Fantastical: Cartan Geometries
Riemannian Geometry
Mwbius Geometry
Projective Geometry
In the Ashes of the Ether: Differential Topology
Looking for the Forest in the Leaves: Folations
The Fundamental Theorem of Calculus
11.
図書
Ethan D. Bloch
出版情報:
Boston : Birkhauser, c1997 xii, 421 p. ; 25 cm
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12.
図書
Patrick B. Eberlein
目次情報:
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Acknowledgments
Introduction
Notation and Preliminaries / 1：
Structure of Symmetric Spaces of Noncompact Type / 2：
Tits Geometries / 3：
Action of Isometrics on M(infinity) / 4：
A Splitting Criterion / 5：
Isometries of R" / 6：
Spaces with Euclidean Factors / 7：
Mostow Rigidity Theorem / 8：
Rigidity Theorems and Characterizations of Symmetric Spaces of Higher Rank / 9：
Fundamental Group and Geometry / 10：
References
Index of Definitions and Terminology
Index of Notation
Acknowledgments
Introduction
Notation and Preliminaries / 1：
13.
図書
Neil Chriss, Victor Ginzburg
出版情報:
Boston : Birkhäuser, 1997 x, 495 p. ; 26 cm
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14.
図書
Shoshichi Kobayashi
出版情報:
Berlin ; New York : Springer, c1995 viii, 182 p. ; 24 cm
シリーズ名:
Classics in mathematics
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15.
図書
edited by Rafał Abłamowicz and Pertti Lounesto
16.
図書
John McCleary
出版情報:
Cambridge [England] ; New York : Cambridge University Press, 1994 xii, 308 p. ; 26 cm
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Prelude and themes
Synthetic Methods and Results / Part I：
Spherical geometry / 1：
Euclid / 2：
The theory of parallels / 3：
Non-Euclidean geometry I / 4：
Non-Euclidean geometry II / 5：
Development: Differential Geometry / Part II：
Curves / 6：
Curves in space / 7：
Surfaces / 8：
Curvature for surfaces / 9：
Metric equivalence of surfaces / 10：
Geodesics / 11：
The Gauss-Bonnet theorem / 12：
Constant curvature surfaces / 13：
Recapitulation / Part III：
Abstract surfaces / 14：
Modelling non-Euclidean geometry / 15：
Coda: generalizations. / 16：
Prelude and themes
Synthetic Methods and Results / Part I：
Spherical geometry / 1：
17.
図書
Simon Gindikin, editor
18.
図書
edited by Paolo de Bartolomeis, Franco Tricerri, Edoardo Vesentini
目次情報:
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List of illustrations
General editor's preface
Preface
Acknowledgements
The strangest piece of news / 1：
Early life / 2：
Professor at Pisa / 3：
The proper home for his ability / 4：
Discoveries and controversies / 5：
The condemnation of Copernicanism / 6：
Controversy and new hope / 7：
The Dialogue and Galileo's condemnation / 8：
Two new sciences / 9：
Rehabilitation / 10：
Notes
Bibliography
Index
List of illustrations
General editor's preface
Preface
19.
図書
E.V. Shikin, editor ; [translated by R.S. Wadhwa from a collection of original Russian manuscripts]
目次情報:
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Three-manifolds with Cr-structure / S. V. Buyalo
Algebraic surfaces with an infinite set of skew symmetry planes. Mutual arrangement of linear spans of four orbits of symmetry directions / V. F. Ignatenko
Curves and discontinua with paradoxical geometric properties / A. V. Kuzminykh
Structure of the neighborhood of an isolated zero of the Lipshits-Killing curvature on a surface which is not 0-tight / V. A. Kuznetsov
Space-like convex surfaces in pseudo-Euclidean spaces / A. D. Milka
Small parameters in the theory of isometric imbeddings of two-dimensional Riemannian manifolds in Euclidean spaces / E. G. Poznyak ; E. V. Shikin
Three-manifolds with Cr-structure / S. V. Buyalo
Algebraic surfaces with an infinite set of skew symmetry planes. Mutual arrangement of linear spans of four orbits of symmetry directions / V. F. Ignatenko
Curves and discontinua with paradoxical geometric properties / A. V. Kuzminykh
20.
図書
by Yuri E. Gliklikh
21.
図書
edited by C.B. Thomas
22.
図書
Vladimir E. Nazaikinskii, Victor E. Shatalov, Boris Yu. Sternin
23.
図書
John K. Beem, Paul E. Ehrlich, Kevin L. Easley
目次情報:
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Introduction - Riemannian themes in Lorentzian geometry
connections and curvature
Lorentzian manifolds and causality
Lorentzian distance
examples of space-times
completness and extendibility
stability of completeness and incompleteness
maximal geodesics and causally disconnected space-times
the Lorentzian cut locus
Morse index theory on Lorentzian manifolds
some results in global Lorentzian geometry
singularities
gravitational plane wave space-times
the splitting problem"
Introduction - Riemannian themes in Lorentzian geometry
connections and curvature
Lorentzian manifolds and causality
24.
図書
A.T. Fomenko ; translated from the Russian by R.S. Wadhwa
25.
図書
Ludwig Pittner
26.
図書
R. Schoen, S.-T. Yau
27.
図書
V.V. Lychagin, editor
目次情報:
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Modeling integro-differential equations and a method for computing their symmetries and conservation laws / V. N. Chetverikov ; A. G. Kudryavtsev
Braiding of the Lie algebra $sl(2)$ / J. Donin ; D. Gurevich
Poisson-Lie aspects of classical $W$-algebras / B. Enriquez ; S. Khoroshkin ; A. Radul ; A. Rosly ; V. Rubtsov
On symmetry subalgebras and conservation laws for the $k-\epsilon$ turbulence model and the Navier-Stokes equations / N. G. Khorkova ; A. M. Verbovetsky
Graded Frolicher-Nijenhuis brackets and the theory of recursion operators for super differential equations / P. H. M. Kersten ; I. S. Krasilshchik
Symplectic geometry of mixed type equations / A. Kushner
Homogeneous geometric structures and homogeneous differential equations / V. Lychagin
Geometry of quantized super PDEs / A. Prastaro
Symmetries of linear ordinary differential equations / A. V. Samokhin
Foliations of manifolds and weighting of derivatives / N. A. Shananin
Higher symmetry algebra structures and local equivalences of Euler-Darboux equations / V. E. Shemarulin
Hyperbolicity and multivalued solutions of Monge-Ampere equations / D. V. Tunitsky
Singularities of solutions of the Maxwell-Dirac equation / L. Zilbergleit
Characteristic classes of Monge-Ampere equations
Modeling integro-differential equations and a method for computing their symmetries and conservation laws / V. N. Chetverikov ; A. G. Kudryavtsev
Braiding of the Lie algebra $sl(2)$ / J. Donin ; D. Gurevich
Poisson-Lie aspects of classical $W$-algebras / B. Enriquez ; S. Khoroshkin ; A. Radul ; A. Rosly ; V. Rubtsov
28.
図書
Maks A. Akivis, Vladislav V. Goldberg
29.
図書
Randy A. Baadhio
30.
図書
Steven G. Krantz
目次情報:
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Principal ideas of classical function theory / 1：
Basic notions of differential geometry / 2：
Curvature and applications / 3：
Some new invariant metrics / 4：
A glimpse of several complex variables / 5：
Principal ideas of classical function theory / 1：
Basic notions of differential geometry / 2：
Curvature and applications / 3：
31.
図書
N.M.J. Woodhouse
出版情報:
Oxford : Clarendon Press , New York : Oxford University Press, 1992, c1991 xi, 307 p. ; 24 cm
シリーズ名:
Oxford mathematical monographs
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Symplectic Geometry / 1：
Lagrangian and Hamiltonian Mechanics / 2：
Symmetry / 3：
Hamilton-Jacobi Theory / 4：
Complex Polarizations / 5：
Elementary Relativistic Systems / 6：
Classical Fields / 7：
Prequantization / 8：
Quantization / 9：
The Metaplectic Correction / 10：
Symplectic Geometry / 1：
Lagrangian and Hamiltonian Mechanics / 2：
Symmetry / 3：
32.
図書
松島, 与三(1921-1983)
33.
図書
Vesselin M. Petkov and Luchezar N. Stoyanov
34.
図書
Robert Hermann
35.
図書
R.V. Gamkrelidze (ed.) ; [D.V. Alekseevskij, A.M. Vinogradov, V.V. Lychagin]
目次情報:
Basic Ideas and Concepts of Differential Geometry
Basic Ideas and Concepts of Differential Geometry
36.
図書
C.T.J. Dodson, T. Poston
37.
図書
Hassler Whitney ; James Eells, Domingo Toledo, editors
38.
図書
Thomas E. Cecil
出版情報:
New York : Springer-Verlag, c1992 xii, 207 p. ; 24 cm
シリーズ名:
Universitext
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39.
図書
Blaine Lawson and Keti Tenenblat (editors) ; associate editors, Jeff Cheeger ... [et al.]
40.
図書
Ya.I. Belopolskaya and Yu.L. Dalecky
41.
図書
editors, Josef Janyška and Demeter Krupka
出版情報:
Singapore : World Scientific, c1990 xiii, 465 p. ; 23 cm
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42.
図書
Howard Jacobowitz
目次情報:
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CR Structures Some automorphism groups
Formal theory of the normal form
Geometric theory of the normal form
ackground for Cartan's work Cartan's construction
Geometric consequences
Chains Chains and circles in complex projective geometry
Nonsolvability of the Lewy Operator
CR Structures Some automorphism groups
Formal theory of the normal form
Geometric theory of the normal form
43.
図書
Brian F. Doolin, Clyde F. Martin
44.
図書
V.I. Arnol'd, S.P. Novikov (eds.)
45.
図書
editor, F. Tricerri
出版情報:
Singapore ; [Teaneck], N.J. : World Scientific, c1990 vii, 184 p. ; 22 cm
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46.
図書
by S.P. Novikov and A.T. Fomenko ; [translated from the Russian by M. Tsaplina]
47.
図書
by V.I. Arnold
48.
図書
Robert Hermann
49.
図書
edited by K. Shiohama
50.
図書
edited by Miroslav Katětov, Petr Simon
出版情報:
Basel ; Boston : Birkhäuser Verlag, 1993 441 p. ; 24 cm
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51.
図書
by Yu.G. Reshetnyak
52.
図書
Katsumi Nomizu, editor
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On the number-theoretic method in geometry: Geometric analogue of zeta and $L$-functions and its applications / T. Sunada
Fundamental groups and Laplacians
Moonshine: A mysterious relationship between simple groups and automorphic functions / M. Koike
On the theory of mixed Hodge modules / M. Saito
Integral invariants in Kahler geometry / A. Futaki
A convergence theorem for Einstein metrics and the ALE spaces / H. Nakajima
On the topology of elliptic surfaces-a survey / M. Ue
Modular $p$-adic $L$-functions and $p$-adic Hecke algebras / H. Hida
On the number-theoretic method in geometry: Geometric analogue of zeta and $L$-functions and its applications / T. Sunada
Fundamental groups and Laplacians
Moonshine: A mysterious relationship between simple groups and automorphic functions / M. Koike
53.
図書
I.R. Porteous
出版情報:
Cambridge : Cambridge University Press, 1994 xiii, 301 p. ; 24 cm
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Plane curves / 1：
Linear and projective spaces / 2：
Plane kinematics / 3：
The derivatives of a map / 4：
Curves on the unit sphere / 5：
Space curves / 6：
k-times linear forms / 7：
Probes / 8：
Contact / 9：
Surfaces in R3 / 10：
Ridges and ribs / 11：
Umbilics / 12：
Parabolic lines / 13：
Involutes of geodesic foliations / 14：
The circles of a surfaces / 15：
Examples of surfaces / 16：
References.
Plane curves / 1：
Linear and projective spaces / 2：
Plane kinematics / 3：
54.
図書
Ivan Kolář, Peter W. Michor, Jan Slovák
出版情報:
Berlin ; New York : Springer-Verlag, c1993 vi, 434 p. ; 25 cm
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55.
図書
Martin R. Bridson, André Haefliger
図書
