Résumé
During the last few years, the field of nonlinear problems
has undergone great development. This book consisting of
the updated Grundlehren volume 252 by the author and of a
newly written part, deals with some important geometric
problems that are of interest to many mathematicians and
scientists but have only recently been partially solved.
Each problem is explained, up-to-date results are given and
proofs are presented. Thus, the reader is given access, for
each specific problem, to its present status of solution as
well as to the most up-to-date methods for approaching it.
The main objective of the book is to explain some methods
and new techniques, and to apply them. It deals with such
important subjects as variational methods, the continuity
method, parabolic equations on fiber.
Contents
Ch. 1 Riemannian Geometry
Ch. 2 Sobolev Spaces
Ch. 3 Background Material
Ch. 4 Complementary Material
Ch. 5 The Yamabe Problem
Ch. 6 Prescribed Scalar Curvature
Ch. 7 Einstein-Kahler Metrics
Ch. 8 Monge-Ampere Equations
Ch. 9 The Ricci Curvature
Ch. 10 Harmonic Maps
Bibliography
Subject Index
Notation
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Thierry Aubin |
| Parution | 01/01/1998 |
| Nb. de pages | 396 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 715g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540607526 |
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