Seminar on Differential Geometry

*Frontmatter, pg. i*TABLE OF CONTENTS, pg. v*INTRODUCTION, pg. ix*SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY, pg. 1*POINCARE 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 KAHLER 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 KAHLER MANIFOLDS OF NONPOSITIVE CURVATURE, pg. 341*KAHLER 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