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1.

図書

図書
editors, Selman Akbulut, Turgut Önder, Ronald J. Stern
出版情報: Ankara : Scientific and Technical Research Council og Turkey, [1995]  88 p. ; 23 cm
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2.

図書

図書
Isaac Chavel
出版情報: Cambridge [England] : Cambridge University Press, 1995  xii, 386 p. ; 23 cm
シリーズ名: Cambridge tracts in mathematics ; 108
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目次情報: 続きを見る
Preface to the Second Edition
Preface
Riemannian Manifolds / I:
Connections / I.1:
Parallel Translation of Vector Fields / I.2:
Geodesics and the Exponential Map / I.3:
The Torsion and Curvature Tensors / I.4:
Riemannian Metrics / I.5:
The Metric Space Structure / I.6:
Geodesics and Completeness / I.7:
Calculations with Moving Frames / I.8:
Notes and Exercises / I.9:
Riemannian Curvature / II:
The Riemann Sectional Curvature / II.1:
Riemannian Submanifolds / II.2:
Spaces of Constant Sectional Curvature / II.3:
First and Second Variations of Arc Length / II.4:
Jacobi's Equation and Criteria / II.5:
Elementary Comparison Theorems / II.6:
Jacobi Fields and the Exponential Map / II.7:
Riemann Normal Coordinates / II.8:
Riemannian Volume / II.9:
Geodesic Spherical Coordinates / III.1:
The Conjugate and Cut Loci / III.2:
Riemannian Measure / III.3:
Volume Comparison Theorems / III.4:
The Area of Spheres / III.5:
Fermi Coordinates / III.6:
Integration of Differential Forms / III.7:
Appendix: Eigenvalue Comparison Theorems / III.8:
Riemannian Coverings / IV:
The Fundamental Group / IV.1:
Volume Growth of Riemannian Coverings / IV.3:
Discretization of Riemannian Manifolds / IV.4:
The Free Homotopy Classes / IV.5:
Surfaces / IV.6:
Systolic Inequalities / V.1:
Gauss-Bonnet Theory of Surfaces / V.2:
The Collar Theorem / V.3:
The Isoperimetric Problem: Introduction / V.4:
Surfaces with Curvature Bounded from Above / V.5:
The Isoperimetric Problem on the Paraboloid of Revolution / V.6:
Isoperimetric Inequalities (Constant Curvature) / V.7:
The Brunn-Minkowski Theorem / VI.1:
Solvability of a Neumann Problem in R[superscript n] / VI.2:
Fermi Coordinates in Constant Sectional Curvature Spaces / VI.3:
Spherical Symmetrization and Isoperimetric Inequalities / VI.4:
M. Gromov's Uniqueness Proof - Euclidean and Hyperbolic Space / VI.5:
The Isoperimetric Inequality on Spheres / VI.6:
The Kinematic Density / VI.7:
The Differential Geometry of Analytical Dynamics / VII.1:
The Berger-Kazdan Inequalities / VII.2:
On Manifolds with No Conjugate Points / VII.3:
Santalo's Formula / VII.4:
Isoperimetric Inequalities (Variable Curvature) / VII.5:
Croke's Isoperimetric Inequality / VIII.1:
Buser's Isoperimetric Inequality / VIII.2:
Isoperimetric Constants / VIII.3:
Discretizations and Isoperimetry / VIII.4:
Comparison and Finiteness Theorems / VIII.5:
Preliminaries / IX.1:
H. E. Rauch's Comparison Theorem / IX.2:
Comparison Theorems with Initial Submanifolds / IX.3:
Refinements of the Rauch Theorem / IX.4:
Triangle Comparison Theorems / IX.5:
Convexity / IX.6:
Center of Mass / IX.7:
Cheeger's Finiteness Theorem / IX.8:
Hints and Sketches for Exercises / IX.9:
Hints and Sketches: Chapter I
Hints and Sketches: Chapter II
Hints and Sketches: Chapter III
Hints and Sketches: Chapter IV
Hints and Sketches: Chapter V
Hints and Sketches: Chapter VI
Hints and Sketches: Chapter VII
Hints and Sketches: Chapter VIII
Hints and Sketches: Chapter IX
Bibliography
Author Index
Subject Index
Preface to the Second Edition
Preface
Riemannian Manifolds / I:
3.

図書

図書
edited by Danail Bonchev and Dennis H. Rouvray
出版情報: Amsterdam B.V. : Gordon and Breach Science Publishers, 1995  xiv, 243 p. ; 24 cm
シリーズ名: Mathematical chemistry ; v. 4
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4.

図書

図書
Søren Have Hansen
出版情報: [Aarhus, Denmark] : Aarhus universitet, 1995  82 p. ; 21 cm
シリーズ名: Lecture notes series ; no. 64
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5.

図書

図書
Gerald B. Folland
出版情報: Princeton, N.J. : Princeton University Press, c1995  xi, 324 p. ; 24 cm
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6.

図書

図書
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
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7.

図書

図書
edited by Herbert Clemens and János Kollár
出版情報: Cambridge : Cambridge University Press, 1995  xi, 158 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; v. 28
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8.

図書

図書
Liu Yanpei
出版情報: Beijing : Science Press , Dordrecht : Kluwer Academic Publishers, c1995  xvi, 398 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 338 . China series
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9.

図書

図書
Carlo Petronio
出版情報: Pisa : Scuola Normale Superiore, 1995  136 p. ; 24 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore ; . Tesi di perfezionamento
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10.

図書

図書
Marko Horbatsch
出版情報: Berlin ; Tokyo : Springer, c1995  x, 331 p. ; 25 cm.
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