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1.

図書
図書
1. Metric structures for Riemannian and non-Riemannian spaces (: Boston ; : Basel)
Misha Gromov ; with appendices by M. Katz, P. Pansu, and S. Semmes ; English translation by Sean Michael Bates
出版情報: Boston : Birkhäuser, c1999  xix, 585 p. ; 24 cm
シリーズ名: Progress in mathematics ; v. 152
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目次情報: 続きを見る
Preface to the French Edition
Preface to the English Edition
Introduction: Metrics Everywhere
Length structures: Path metric spaces / 1：
Examples of path metric spaces
Arc-wise isometries
Degree and dilatation / 2：
Review : Degree of mappings between oriented manifolds
Elementary properties of dilatations for spheres
Some general homotopy counting results for Lipschitz maps
Dilatation of sphere-valued mappings
Metric structures / 3：
Lipschitz distance
Hausdorff distance
First examples of Hausdorff convergence
The noncompact case : Pointed distances
The Hausdorff-Lipschitz metric and quasi-isometry
First-order metric invariants and ultralimits
Convergence with control
Convergence and concentration of metric and measures
Loewner rediscovered: First, some history (in dimension 2) / 4：
Next, some questions in dimension Ç 3
Finally, the theorems
An application of geometric integration theory
Unstable systolic inequalities and filling
Finer inequalities and systoles of universal spaces
Manifolds with bounded Ricci curvature / 5：
Precompactness
Growth of fundamental groups
The first Betti number
Small loops
Isoperimetric inequalities and amenability / 6：
Quasiregular mappings
Isoperimetric dimension of a manifold
Computations of isoperimetric dimension
Generalizations
Morse theory and minimal models / 7：
Application to Morse theory to loop spaces
Dilatation of mappings between simply connected manifolds
Pinching and collapse / 8：
Why pinch the sectional curvature?
Implications of pinched curvature
limits of pinched manifolds
Nilpotent groups
"Quasiconvex" domains in R[superscript n] / Appendix A：
Metric spaces and mappings seen at many scales / Appen B：
Basic concepts and examples
Analysis on general spaces
Rigidity and structure
An introduction to real-variable methods
Paul Levy's isoperimetric inequality / Appen C：
Systolically Free Manifolds / Appen D：
Bibliography
Glossary of Notation
Index
Preface to the French Edition
Preface to the English Edition
Introduction: Metrics Everywhere
2.

図書
図書
2. Manifolds of nonpositive curvature (: us ; : gw)
Werner Ballmann, Mikhael Gromov, Viktor Schroeder
出版情報: Boston : Birkhäuser, 1985  iv, 263 p. ; 23 cm
シリーズ名: Progress in mathematics ; v. 61
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3.

図書
図書
3. Geometric topology : recent developments : lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 4-12, 1990 (: gw ; : us)
J. Cheeger ... [et al.] ; editors, P. de Bartolomeis, F. Tricerri
出版情報: Berlin ; Tokyo : Springer-Verlag, c1991  vi, 197 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 1504 . Fondazione C.I.M.E.
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4.

図書
図書
4. Asymptotic invariants of infinite groups
M. Gromov ; edited by Graham A. Niblo and Martin A. Roller
出版情報: Cambridge : Cambridge University Press, 1993  vii, 295 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 182 . Geometric group theory : proceedings of the symposium held in Sussex 1991 / edited by Graham A. Niblo and Martin A. Roller ; v. 2
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目次情報:
Generalising amenability for finitely generated groups / M. Gromov1：
Generalising amenability for finitely generated groups / M. Gromov1：
5.

図書
図書
5. Harmonic maps between Riemannian polyhedra
J. Eells, B. Fuglede ; with a preface by M. Gromov
出版情報: Cambridge ; New York : Cambridge University Press, 2001  xii, 296 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 142
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目次情報: 続きを見る
GromovÆs preface
Preface
Introduction / 1：
Domains, Targets, Examples / Part 1：
Harmonic spaces, Dirichlet spaces and geodesic spaces / 2：
Examples of domains and targets / 3：
Riemannian polyhedra / 4：
Potential Theory on Polyhedra / Part 2：
The Sobolev space W1,2(X). Weakly harmonic functions / 5：
Potential theory on Riemannian polyhedra / 7：
Examples of Riemannian polyhedra and related spaces / 8：
Maps between Polyhedra / Part 3：
Energy of maps / 9：
Hölder continuity of energy minimizers / 10：
Existence of energy minimizers / 11：
Harmonic maps - totally geodesic maps / 12：
Harmonic morphisms / 13：
Energy according to Korevaar-Schoen / 14Appendix A：
Minimizers with small energy decay / 15Appendix B：
Bibliography
Special symbols
Index
GromovÆs preface
Preface
Introduction / 1：
6.

図書
図書
6. Different faces of geometry
edited by Simon Donaldson, Yakov Eliashberg and Mikahel Gromov
出版情報: New York : Kluwer Academic/Plenum Publishers, c2004  xxi, 404 p. ; 24 cm
シリーズ名: International mathematical series
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目次情報: 続きを見る
Refined Seiberg / Witten Invariants ; Stefan Bauer
3-Dimensional Methods in Contact Geometry / Ko Honda
Asymptotic Convex Geometry. Short Overview / Apostolos A. Giannopoulos ; Vitali D. Milman
Singularities of Special Lagrangian Submanifolds / Dominic Joyce
Curvature Functionals, Optimal Metrics, and the Differential Topology of 4-Manifolds / Claude LeBrun
Amoebas of Algebraic Varieties and Tropical Geometry / Grigory Mikhalkin
Heegaard Diagrams and Holomorphic Disks / Peter Ozsvath ; Zoltan Szabo
Exact Lagrangian Submanifolds in T*Sn and the Graded Kronecker Quiver / Paul Seidel
Refined Seiberg / Witten Invariants ; Stefan Bauer
3-Dimensional Methods in Contact Geometry / Ko Honda
Asymptotic Convex Geometry. Short Overview / Apostolos A. Giannopoulos ; Vitali D. Milman
7.

図書
図書
7. Partial differential relations (: U.S. ; : Germany ; : softcover)
Mikhael Gromov
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  ix, 363 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 9
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