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MARC 21

Some Nonlinear Problems in Riemannian Geometry
Tag	Description
020	$a9783662130063$9978-3-662-13006-3
082	$a516.36$223
099	$aOnline resource: Springer
100	$aAubin, Thierry.
245	$aSome Nonlinear Problems in Riemannian Geometry$h[EBook] /$cby Thierry Aubin.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg :$bImprint: Springer,$c1998.
300	$aXVII, 398 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aSpringer Monographs in Mathematics,$x1439-7382
505	$a1 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.
520	$aDuring 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. ..........
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aSpringer Monographs in Mathematics,$x1439-7382
856	$uhttp://dx.doi.org/10.1007/978-3-662-13006-3