E-Book, Englisch, 397 Seiten, eBook
Aubin Some Nonlinear Problems in Riemannian Geometry
Erscheinungsjahr 2013
ISBN: 978-3-662-13006-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 397 Seiten, eBook
Reihe: Springer Monographs in Mathematics
ISBN: 978-3-662-13006-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
