Yau Seminar on Differential Geometry. (AM-102), Volume 102

1. Auflage 2016
ISBN: 978-1-4008-8191-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 102, 720 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Seminar on Differential Geometry. (AM-102), Volume 102".

Autoren/Hrsg.

Yau, Shing-Tung

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

Frontmatter, pg. i
TABLE OF CONTENTS, pg. v
INTRODUCTION, pg. ix
SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY, pg. 1
POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDS, pg. 73
BONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM, pg. 85
LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS, pg. 107
SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONS, pg. 133
AN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDS, pg. 143
ON THE BLASCHKE CONJECTURE, pg. 159
BEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEM, pg. 173
GAUSSIAN AND SCALAR CURVATURE, AN UPDATE, pg. 185
CONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE, pg. 193
RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETER, pg. 203
COMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATURE, pg. 209
ENTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACE, pg. 229
APPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS, pg. 239
EXTREMAL KÄHLER METRICS, pg. 259
L2 HARMONIC FORMS ON COMPLETE MANIFOLDS, pg. 291
L2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES, pg. 303
FUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE, pg. 341
KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASS, pg. 359
COMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME, pg. 363
LOCAL ISOMETRIC EMBEDDINGS, pg. 381
YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS, pg. 395
SYMMETRY AND ISOLATED SINGULARITIES OF CONFORMALLY FLAT METRICS AND OF SOLUTIONS OF THE YANG-MILLS EQUATIONS, pg. 423
ON PARALLEL YANG-MILLS FIELDS, pg. 443
VARIATIONAL PROBLEMS FOR GAUGE FIELDS, pg. 455
SOME GEOMETRICAL ASPECTS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS, pg. 465
THE CONFORMALLY INVARIANT LAPLACIAN AND THE INSTANTON VANISHING THEOREM, pg. 483
CAUSALLY DISCONNECTING SETS, MAXIMAL GEODESICS AND GEODESIC INCOMPLET-ENESS FOR STRONGLY CAUSAL SPACE-TIMES, pg. 499
RENORMALIZATION, pg. 507
METRICS WITH PRESCRIBED RICCI CURVATURE, pg. 525
BLACK HOLE UNIQUENESS THEOREMS IN CLASSICAL AND QUANTUM GRAVITY, pg. 539
GRAVITATIONAL INSTANTONS, pg. 603
SOME UNSOLVED PROBLEMS IN CLASSICAL GENERAL RELATIVITY, pg. 631
PROBLEM SECTION, pg. 669
Backmatter, pg. 707