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Seminar on differential geometry /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press : University of Tokyo Press,
1982.
|
| Colección: | Annals of mathematics studies ;
no. 102. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; TABLE OF CONTENTS; INTRODUCTION; SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 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 YAMABE PROBLEM; GAUSSIAN AND SCALAR CURVATURE, AN UPDATE.
- CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLERIGIDITY 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; L^2 HARMONIC FORMS ON COMPLETE MANIFOLDS; L^2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES.
- FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATUREKÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS; COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KÄHLER 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 THEOREMCAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLETENESS 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.