**Proceedings of Symposia in Pure Mathematics**

Volume: 54;
1993;
560 pp;
Hardcover

MSC: Primary 49; 53; 58;

**Print ISBN: 978-0-8218-1494-9
Product Code: PSPUM/54.1**

List Price: $121.00

AMS Member Price: $96.80

MAA Member Price: $108.90

**Electronic ISBN: 978-0-8218-9352-4
Product Code: PSPUM/54.1.E**

List Price: $114.00

AMS Member Price: $91.20

MAA Member Price: $102.60

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# Differential Geometry: Partial Differential Equations on Manifolds

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

# Table of Contents

## Differential Geometry: Partial Differential Equations on Manifolds

- Contents–Part 1 ix10 free
- Preface xxi22 free
- Open Problems in Geometry* 124 free
- Questions and Answers about Area-Minimizing Surfaces and Geometric Measure Theory* 2952
- On the Geometrical Origin and the Solutions of a Degenerate Monge-Ampère Equation 5578
- Differential Geometry and the Design of Gradient Algorithms* 6992
- Spectral Geometry of V-Manifolds and its Application to Harmonic Maps 93116
- Constructing Harmonic Maps into the Hyperbolic Space 101124
- Spherical Minimal Immersions of Spherical Space Forms 111134
- Banach Manifolds of Solutions to Nonlinear Partial Differential Equations, and Relations with Finite-Dimensional Manifolds 121144
- Some New Harmonic Maps 141164
- Existence of Unstable Minimal Surfaces in Manifolds with Homology and Applications to Triply Periodic Minimal Surfaces 147170
- Closed Minimal Submanifolds in the Spheres* 163186
- Local and Global Behaviour of Hypersurfaces Moving by Mean Curvature* 175198
- The Level-Set Flow on a Manifold 193216
- Unstable Solutions of Two-Dimensional Geometric Variational Problems* 205228
- Harmonic Maps and Superrigidity 245268
- Harmonic Functions of Polynomial Growth on Complete Manifolds 281304
- The Structure of Constant Mean Curvature Embeddings in Euclidean Three Space 291314
- Uniformization of Spherical CR Manifolds and the CR Yamabe Problem 299322
- The Theory of Harmonic Functions and Its Relation to Geometry* 307330
- Harmonic Maps with Prescribed Singularities 317340
- Some Recent Results on Harmonic Maps to Spheres* 327350
- The Geometry, Topology, and Existence of Periodic Minimal Surfaces* 333356
- Soap Films and Mathematics 375398
- Uniform Boundary Regularity Estimates for Minima of Certain Quadratic Functionals 381404
- Self-similar Solutions and Asymptotic Behavior of Flows of Nonparametric Surfaces Driven by Gauss or Mean Curvature 389412
- A Report on Geometric Quantization 403426
- Motion of Curves by Crystalline Curvature, Including Triple Junctions and Boundary Points 417440
- Recent Progress in Submanifold Geometry* 439462
- Constant Mean Curvature Surfaces in the Heisenberg Group 485508
- Complete Immersions of Constant Mean Curvature* 497520
- Banach Manifolds of Minimal Surfaces in the 4-Sphere 513536
- On the Isolatedness for the Solutions of Plateau's Problem 541564