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Partial differential equations on manifolds : 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 1.
- Differential geometry ; pt. 1.
- Proceedings of symposia in pure mathematics ; volume 54, part 1
- Differential geometry ; part 1
- Language:
- English
- Subjects (All):
- Differential equations, Partial--Congresses.
- Differential equations, Partial.
- Complex manifolds--Congresses.
- Complex manifolds.
- Harmonic maps--Congresses.
- Harmonic maps.
- Physical Description:
- 1 online resource (584 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1993]
- Language Note:
- English
- Summary:
- The first 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 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
- Contents:
- ""Banach Manifolds of Solutions to Nonlinear Partial Differential Equations, and Relations with Finite-Dimensional Manifolds""""Some New Harmonic Maps""; ""Existence of Unstable Minimal Surfaces in Manifolds with Homology and Applications to Triply Periodic Minimal Surfaces""; ""Closed Minimal Submanifolds in the Spheres*""; ""Local and Global Behaviour of Hypersurfaces Moving by Mean Curvature*""; ""The Level-Set Flow on a Manifold""; ""Unstable Solutions of Two-Dimensional Geometric Variational Problems*""; ""Harmonic Maps and Superrigidity""
- ""Harmonic Functions of Polynomial Growth on Complete Manifolds""""The Structure of Constant Mean Curvature Embeddings in Euclidean Three Space""; ""Uniformization of Spherical CR Manifolds and the CR Yamabe Problem""; ""The Theory of Harmonic Functions and Its Relation to Geometry*""; ""Harmonic Maps with Prescribed Singularities""; ""Some Recent Results on Harmonic Maps to Spheres*""; ""The Geometry, Topology, and Existence of Periodic Minimal Surfaces*""; ""Soap Films and Mathematics""; ""Uniform Boundary Regularity Estimates for Minima of Certain Quadratic Functionals""
- ""Self-similar Solutions and Asymptotic Behavior of Flows of Nonparametric Surfaces Driven by Gauss or Mean Curvature""""A Report on Geometric Quantization""; ""Motion of Curves by Crystalline Curvature, Including Triple Junctions and Boundary Points""; ""Recent Progress in Submanifold Geometry*""; ""Constant Mean Curvature Surfaces in the Heisenberg Group""; ""Complete Immersions of Constant Mean Curvature*""; ""Banach Manifolds of Minimal Surfaces in the 4-Sphere""; ""On the Isolatedness for the Solutions of Plateau's Problem""
- 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:
- 0-8218-9352-1
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