ISBN: 9780691082967

By Shing-Tung Yau. Yau, Harvard University and Director of the Institute of Mathematics of the Chinese University of Hong Kong. Author Shing-Tung Yau. Frontmatter, pg. i TABLE OF CONTENTS… More...

By Shing-Tung Yau. Yau, Harvard University and Director of the Institute of Mathematics of the Chinese University of Hong Kong. Author Shing-Tung Yau. Frontmatter, pg. i TABLE OF CONTENTS, pg. v INTRODUCTION, pg. The Nile on eBay   FREE SHIPPING UK WIDE   Seminar on Differential Geometry. (AM-102), Volume 102 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 Advanced Study in Princeton during the academic yea FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Author Biography Yau, Harvard University and Director of the Institute of Mathematics of the Chinese University of Hong Kong. Table of Contents *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 Long Description 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 Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincare inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics.The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information. Details ISBN0691082960 Author Shing-Tung Yau Short Title SEMINAR ON DIFFERENTIAL GEOMET Pages 720 Publisher Princeton University Press Language English ISBN-10 0691082960 ISBN-13 9780691082967 Media Book Format Paperback DEWEY 516.36 Series Number 0102 Year 1982 Residence Cambridge, MA, US Birth 1949 Affiliation Harvard University DOI 10.1604/9780691082967 UK Release Date 1982-03-21 Imprint Princeton University Press Place of Publication New Jersey Country of Publication United States AU Release Date 1982-03-21 NZ Release Date 1982-03-21 US Release Date 1982-03-21 Series Annals of Mathematics Studies Publication Date 1982-03-21 Alternative 9780691082684 Edited by Shing-Tung Yau Audience Professional & Vocational We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICYNo questions asked, 30 day returns! FREE DELIVERYNo matter where you are in the UK, delivery is free. SECURE PAYMENTPeace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:140818962; , Neu, Festpreisangebot, [LT: FixedPrice], Artikelzustand: Neu, ISBN-13: 9780691082967, Book Title: Seminar on Differential Geometry. (AM-102), Volume 102, EAN: 9780691082967, Publication Year: 1982, Type: Textbook, Format: Paperback, Language: English, Publication Name: Seminar on Differential Geometry. (Am-102) , Volume 102, Item Height: 229mm, Item Width: 152mm, Subject: Mathematics, Item Weight: 1021g, Number of Pages: 720 Pages, Princeton University Press<

1982, ISBN: 9780691082967

Buch, Softcover, This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial dif… More...

Buch, Softcover, 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 Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincare inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information. [PU: Princeton University Press], Seiten: 720, Princeton University Press, 1982<

ISBN: 9780691082967

Paperback / softback. New. This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially … More...

Paperback / softback. New. 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 Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincare inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information., 6<

1982, ISBN: 0691082960

Kartoniert / Broschiert MATHEMATICS / Geometry / Differential, mit Schutzumschlag 11, [PU:Princeton University Press]

ISBN: 9780691082967

paperback, [PU: Princeton University Press]