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Some Nonlinear Problems in Riemannian Geometry

Some Nonlinear Problems in Riemannian Geometry
Catalogue Information
Field name Details
Dewey Class 516.36
Title Some Nonlinear Problems in Riemannian Geometry ([EBook] /) / by Thierry Aubin.
Author Aubin, Thierry
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1998.
Physical Details XVII, 398 p. : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9783662130063
Summary Note 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. ..........:
Contents note 1 Riemannian Geometry -- 2 Sobolev Spaces -- 3 Background Material -- 4 Complementary Material -- 5 The Yamabe Problem -- 6 Prescribed Scalar Curvature -- 7 Einstein—Kähler Metrics -- 8 Monge—Ampère Equations -- 9 The Ricci Curvature -- 10 Harmonic Maps -- Bibliography* -- Notation.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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