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Riemannian geometry : proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, Los Angeles, California, July 8-28, 1990 / Robert Greene, S.T. Yau, editors.
- Format:
- Book
- Conference/Event
- Conference Name:
- Summer Research Institute on Differential Geometry (1990 : University of California, Los Angeles), issuing body.
- Series:
- Proceedings of symposia in pure mathematics ; volume 54, part 3.
- Differential geometry ; pt. 3.
- Proceedings of symposia in pure mathematics ; volume 54, part 3
- Differential geometry ; part 3
- Language:
- English
- Subjects (All):
- Geometry, Riemannian--Congresses.
- Geometry, Riemannian.
- Physical Description:
- 1 online resource (735 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1993]
- Language Note:
- English
- Summary:
- The third of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 3 begins with an overview by R.E. Greene of some recent trends in Riemannia
- Contents:
- ""Contents""; ""Part 3""; ""Some Concepts and Methods in Riemannian Geometry""; ""Isometric Immersions of H[sup(n)] into H[sup(n+1)]""; ""The Distance-Geometry of Riemannian Manifolds with Boundary""; ""Hypersurfaces and Nonnegative Curvature""; ""Shortening Space Curves""; ""Degeneration of Metrics with Bounded Curvature and Applications to Critical Metrics of Riemannian Functional""; ""The Geometry of Totally Geodesic Hypersurfaces in Hyperbolic Manifolds""; ""Finiteness of Diffeomorphism Types of Isospectral Manifolds""; ""Small Eigenvalues of the Laplacian on Negatively Curved Manifolds""
- ""Geometrically Tame Hyperbolic 3-Manifolds""""Isoperimetric Constants and Large Time Heat Diffusion in Riemannian Manifolds""; ""Large Time Behavior of Solutions of the Heat Equation""; ""Manifolds with 2-Nonnegative Curvature Operator""; ""The Geometry of Isospectral Deformations""; ""Quadric Representation of a Submanifold and Spectral Geometry""; ""Embedded Eigenvalues for Asymptotically Flat Surfaces""; ""Manifolds of Nonpositive Curvature""; ""Topological Rigidity for Compact Nonpositively Curved Manifolds""; ""Almost Nonnegatively Curved Manifolds""
- ""Local Structure of Framed Manifolds""""Constant Affine Mean Curvature Hypersurfaces of Decomposable Type""; ""Heat Equation Asymptotics""; ""Nonnegatively Curved Manifolds Which Are Flat Outside a Compact Set""; ""Spaces of Nonnegative Curvature""; ""Critical Point Theory for Distance Functions""; ""Spectral Geometry in Higher Ranks: Closed Geodesies and Flat Tori""; ""Ellipticity of Local Isometric Embeddings""; ""Curve Flows on Surfaces and Intersections of Curves""; ""Curve Shortening, Equivariant Morse Theory, and Closed Geodesies on the 2-Sphere""; ""Morse Theory for Geodesies""
- ""On Some Metrics on S[sup(2)] x S[sup(2)]""""Curve-straightening""; ""Ball Covering Property and Nonnegative Ricci Curvature Outside a Compact Set""; ""General Conjugate Loci are not Closed""; ""Collapsing of Riemannian Manifolds and Their Excesses""; ""Gromov-Hausdorff Convergence of Metric Spaces""; ""Cartan Connections""; ""Eigenvalue Estimates for the Laplacian with Lower Order Terms on a Compact Riemannian Manifold""; ""Positive Ricci Curvature on Compact Simply Connected 4-Manifolds""; ""Volume Growth and Finite Topological Type""; ""Recent Developments in Sphere Theorems""
- ""On the Excess of Open Manifolds""""Local Theory of Affine 2-Spheres""; ""Riemannian Manifolds with Completely Integrable Geodesic Flows""; ""Differentiate Structure on Spheres and Curvature""; ""Spectral Theory for Operator Families on Riemannian Manifolds""; ""Riemannian Foliations and Tautness""; ""Eigenvalue Problems for Manifolds with Singularities""; ""Some Rigidity Aspects of Riemannian Fibrations""; ""Hausdorff Convergence and Sphere Theorems""; ""Automorphism Groups and Fundamental Groups of Geometric Manifolds""
- Notes:
- "Proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 8-28, 1990"--T.p. verso.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9354-8
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