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1.

図書

図書
Felix Klein著 ; 石井省吾, 渡辺弘訳
出版情報: 東京 : 共立出版, 1995.9  x,402p ; 23cm
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2.

図書

図書
上田哲生, 谷口雅彦, 諸澤俊介共著
出版情報: 東京 : 培風館, 1995.11  vi, 229p ; 22cm
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3.

図書

図書
日比孝之著
出版情報: 東京 : シュプリンガー・フェアラーク東京, 1995.4  x, 163p ; 22cm
シリーズ名: シュプリンガー現代数学シリーズ / 伊藤雄二編
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4.

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:
5.

図書

図書
M.G. Nadkarni
出版情報: Basel ; Boston : Birkhäuser Verlag, c1995  vi, 149 p. ; 24 cm
シリーズ名: Birkhäuser advanced texts : Basler Lehrbücher / edited by Herbert Amann, Hanspeter Kraft
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6.

図書

図書
Bourbaki, Nicolas
出版情報: Paris : Société mathématique de France, 1995  10 v. ; 25 cm
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7.

図書

図書
editor Daniel Iagolnitzer
出版情報: Cambridge, Mass. : International Press, c1995  xxi, 808 p. ; 26 cm
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8.

図書

図書
Michel Willem
出版情報: Paris : Hermann, 1995  235 p. ; 22 cm
シリーズ名: Collection méthodes
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9.

図書

図書
E.C. Lance
出版情報: Cambridge : Cambridge University Press, 1995  ix, 130 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 210
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目次情報: 続きを見る
Modules / 1:
Multipliers and morphisms / 2:
Projections and unitaries / 3:
Tensor products / 4:
The KSGNS construction / 5:
Stabilisation or absorption / 6:
Full modules, Morita equivalence / 7:
Slice maps and bialgebras / 8:
Unbounded operators / 9:
The bounded transform, unbounded multipliers / 10:
Modules / 1:
Multipliers and morphisms / 2:
Projections and unitaries / 3:
10.

図書

図書
by V.A. Vassiliev
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1995  xvii, 289 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 315
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目次情報: 続きを見る
Introduction
Picard-Lefschetz-Pham theory and singularity theory / I:
Newton's theorem on the nonintegrability of ovals / II:
Newton's potential of algebraic layers / III:
Lacunas and the local Petrovskii condition for hyperbolic differential operators with constant coefficients / IV:
Calculation of local Petrovskii cycles and enumeration of local lacunas close to real function singularities / V:
a FORTRAN program searching for the lacunas and enumerating the morsifications of real function singularities / Appendix:
Bibliography
Index
Introduction
Picard-Lefschetz-Pham theory and singularity theory / I:
Newton's theorem on the nonintegrability of ovals / II:
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