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Some Nonlinear Problems in Riemannian Geometry
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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)
Internet Site
http://dx.doi.org/10.1007/978-3-662-13006-3
Links to Related Works
Subject References:
Differential Geometry
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Global Analysis and Analysis on Manifolds
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Global analysis (Mathematics)
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Manifolds (Mathematics)
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Mathematics
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Authors:
Aubin, Thierry
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
516.36
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