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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 . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematics . Authors: Aubin, Thierry . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 516.36 .

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Some Nonlinear Problems in Riemannian Geometry

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