Some Nonlinear Problems in Riemannian Geometry
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Beschreibung
During the last few years, the field of nonlinear problems has undergone great development.This book, the core of which is the content of the author's earlier book (Springer-Verlag 1983), updated and extended in each chapter, and augmented by several completely new chapters, deals with some important geometric problems that have only recently been solved or partially been solved. Each problem is explained with the present status of its solution and the most recent methods of approaching the proofs. The main aim is to explain some methods and new techniques, and to apply them to problems coming from geometry or from physics. It deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, topological methods. ..........
A very interesting area of nonlinear partial differential equations lies in the study of special equations arising in Geometry and Physics. This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of concentration, blowing-up technique, geometric and topological methods.
Autor*in
Thierry Aubin
Themen in »Some Nonlinear Problems in Riemannian Geometry«
Einstein Mannigfaltigkeiten Einstein manifolds Einstein-Kähler Matritzen Einstein-Kähler metrics Harmonische Maps Methoden zur Lösung nonlinearer Probleme Methods for nonlinear problems Riemannian geometry Yamabe Problem YellowSale2006 curvature harmonic maps nicht-lineare p nicht-lineare partielle Differentialgleichungen nonlinear partial differential equations