**Proceedings of Symposia in Pure Mathematics**

Volume: 54;
1993;
710 pp;
Hardcover

MSC: Primary 53; 58;

**Print ISBN: 978-0-8218-1496-3
Product Code: PSPUM/54.3**

List Price: $133.00

AMS Member Price: $106.40

MAA Member Price: $119.70

**Electronic ISBN: 978-0-8218-9354-8
Product Code: PSPUM/54.3.E**

List Price: $125.00

AMS Member Price: $100.00

MAA Member Price: $112.50

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# Differential Geometry: Riemannian Geometry

Share this page *Edited by *
*Robert Greene; S. T. Yau*

# Table of Contents

## Differential Geometry: Riemannian Geometry

- Contents ix10
- Part 3 v6 free
- Some Concepts and Methods in Riemannian Geometry 124 free
- Isometric Immersions of H[sup(n)] into H[sup(n+1)] 2346
- The Distance-Geometry of Riemannian Manifolds with Boundary 3154
- Hypersurfaces and Nonnegative Curvature 3760
- Shortening Space Curves 4568
- Degeneration of Metrics with Bounded Curvature and Applications to Critical Metrics of Riemannian Functional 5376
- The Geometry of Totally Geodesic Hypersurfaces in Hyperbolic Manifolds 81104
- Finiteness of Diffeomorphism Types of Isospectral Manifolds 89112
- Small Eigenvalues of the Laplacian on Negatively Curved Manifolds 95118
- Geometrically Tame Hyperbolic 3-Manifolds 99122
- Isoperimetric Constants and Large Time Heat Diffusion in Riemannian Manifolds 111134
- Large Time Behavior of Solutions of the Heat Equation 123146
- Manifolds with 2-Nonnegative Curvature Operator 129152
- The Geometry of Isospectral Deformations 135158
- Quadric Representation of a Submanifold and Spectral Geometry 155178
- Embedded Eigenvalues for Asymptotically Flat Surfaces 169192
- Manifolds of Nonpositive Curvature 179202
- Topological Rigidity for Compact Nonpositively Curved Manifolds 229252
- Almost Nonnegatively Curved Manifolds 275298
- Local Structure of Framed Manifolds 283306
- Constant Affine Mean Curvature Hypersurfaces of Decomposable Type 289312
- Heat Equation Asymptotics 317340
- Nonnegatively Curved Manifolds Which Are Flat Outside a Compact Set 327350
- Spaces of Nonnegative Curvature 337360
- Critical Point Theory for Distance Functions 357380
- Spectral Geometry in Higher Ranks: Closed Geodesies and Flat Tori 387410
- Ellipticity of Local Isometric Embeddings 409432
- Curve Flows on Surfaces and Intersections of Curves 415438
- Curve Shortening, Equivariant Morse Theory, and Closed Geodesies on the 2-Sphere 423446
- Morse Theory for Geodesies 431454
- On Some Metrics on S[sup(2)] x S[sup(2)] 439462
- Curve-straightening 451474
- Ball Covering Property and Nonnegative Ricci Curvature Outside a Compact Set 459482
- General Conjugate Loci are not Closed 465488
- Collapsing of Riemannian Manifolds and Their Excesses 479502
- Gromov-Hausdorff Convergence of Metric Spaces 489512
- Cartan Connections 505528
- Eigenvalue Estimates for the Laplacian with Lower Order Terms on a Compact Riemannian Manifold 521544
- Positive Ricci Curvature on Compact Simply Connected 4-Manifolds 529552
- Volume Growth and Finite Topological Type 539562
- Recent Developments in Sphere Theorems 551574
- On the Excess of Open Manifolds 577600
- Local Theory of Affine 2-Spheres 585608
- Riemannian Manifolds with Completely Integrable Geodesic Flows 599622
- Differentiate Structure on Spheres and Curvature 609632
- Spectral Theory for Operator Families on Riemannian Manifolds 615638
- Riemannian Foliations and Tautness 667690
- Eigenvalue Problems for Manifolds with Singularities 673696
- Some Rigidity Aspects of Riemannian Fibrations 679702
- Hausdorff Convergence and Sphere Theorems 685708
- Automorphism Groups and Fundamental Groups of Geometric Manifolds 693716