RIEMANNIAN GEOMETRY AND GEOMETRIC ANALYSIS - Brossura

Jost, Jürgen

Brossura

ISBN 10: 3540636544 ISBN 13: 9783540636540

Casa editrice: Springer Verlag, 1998

Riassunto

This text on Riemannian geometry and geometric analysis is written for graduates and reseachers and includes material new to the late 1990s on Ginzburg-Landau, Seibert-Witten functionals, spin geometry and Dirac operators.

Su questo libro

Dalla quarta di copertina

From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry,e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections, where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The second edition contains a new chapter on variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. These topics are carefully and systematically developed, and the new edition contains a thorough treatment of the relevant background material, namely spin geometry and Dirac operators. The new material is based on a course "Geometry and Physics" at the University of Leipzig that was attented by graduate students, postdocs and researchers from other areas of mathematics. Much of the material is included here for the first time in a textbook, and the book will lead the reader to some of the hottest topics of contemporary mathematical research.

Dettagli dell?edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1998
• ISBN 10: 3540636544
• ISBN 13: 9783540636540
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 455
• Contatto del produttore: non disponibile