Seminar on Differential Geometry. (AM-102), Volume 102 / / ed. by Shing-Tung Yau.
This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for A...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1982 |
Year of Publication: | 2016 |
Language: | English |
Series: | Annals of Mathematics Studies ;
102 |
Online Access: | |
Physical Description: | 1 online resource (720 p.) |
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Table of Contents:
- Frontmatter
- TABLE OF CONTENTS
- INTRODUCTION
- SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY
- POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS
- BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM
- LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS
- SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS
- AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS
- ON THE BLASCHKE CONJECTURE
- BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM
- GAUSSIAN AND SCALAR CURVATURE, AN UPDATE
- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE
- RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER
- COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE
- ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE
- APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS
- EXTREMAL KÄHLER METRICS
- L2 HARMONIC FORMS ON COMPLETE MANIFOLDS
- L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES
- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE
- KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS
- COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME
- LOCAL ISOMETRIC EMBEDDINGS
- YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS
- SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS
- ON PARALLEL YANG-MILLS FIELDS
- VARIATIONAL PROBLEMS FOR GAUGE FIELDS
- SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS
- THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM
- CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES
- RENORMALIZATION
- METRICS WITH PRESCRIBED RICCI CURVATURE
- BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY
- GRAVITATIONAL INSTANTONS
- SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY
- PROBLEM SECTION
- Backmatter