Some Nonlinear Problems in Riemannian Geometry

Aubin, Thierry

ISBN 10: 3540607528 / ISBN 13: 9783540607526

Editore: Springer, 1998

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Dati bibliografici

• Titolo: Some Nonlinear Problems in Riemannian Geometry
• Editore: Springer
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 3540607528
• ISBN 13: 9783540607526
• Rilegatura: Rilegato
• Condizione: As New

Descrizione articolo

Riassunto

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. It explores important geometric problems that are of interest to many mathematicians and scientists but have only recently been partially solved.

Dalla quarta di copertina

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. ..........