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Some Nonlinear Problems in Riemannian Geometry

  • Kartonierter Einband
  • 397 Seiten
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During the last few years, the field of nonlinear problems has undergone great development. This book consisting of the updated Gr... Weiterlesen
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Beschreibung

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.

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.

Inhalt
1 Riemannian Geometry.- 2 Sobolev Spaces.- 3 Background Material.- 4 Complementary Material.- 5 The Yamabe Problem.- 6 Prescribed Scalar Curvature.- 7 EinsteinKähler Metrics.- 8 MongeAmpère Equations.- 9 The Ricci Curvature.- 10 Harmonic Maps.- Bibliography*.- Notation.

Produktinformationen

Titel: Some Nonlinear Problems in Riemannian Geometry
Autor:
EAN: 9783642082368
ISBN: 978-3-642-08236-8
Format: Kartonierter Einband
Herausgeber: Springer, Berlin
Genre: Mathematik
Anzahl Seiten: 397
Gewicht: g
Größe: H235mm x B235mm x T155mm
Jahr: 2010
Auflage: Softcover reprint of hardcover 1st ed. 1998

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