02545nam 2200625 a 450 991046449600332120200520144314.01-283-23465-39786613234650981-4295-71-X(CKB)3400000000016739(EBL)840562(OCoLC)748215446(SSID)ssj0000536524(PQKBManifestationID)12234803(PQKBTitleCode)TC0000536524(PQKBWorkID)10549951(PQKB)11420160(MiAaPQ)EBC840562(WSP)00007647(Au-PeEL)EBL840562(CaPaEBR)ebr10493495(CaONFJC)MIL323465(EXLCZ)99340000000001673920110712d2011 uy 0engur|n|---|||||txtccrExtremals for the Sobolev inequality and the quaternionic contact Yamabe problem[electronic resource] /Stefan P. Ivanov, Dimiter N. VassilevSingapore ;Hackensack, N.J. World Scientificc20111 online resource (238 p.)Description based upon print version of record.981-4295-70-1 Includes bibliographical references and index.pt. 1. Analysis -- pt. 2. Geometry.The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally flat case of the quaternionic Heisenberg group or sphere, where complete and detailed proofs are given, together with a chapter on the conformal curvature tensor introduced very recently by the authors. The starting point of the considered problems is the well-known Folland-Stein Sobolev type embedding and its sharp form that is determined based on geometric analysis. This book also sits at the interface of the geneGeometry, DifferentialContact manifoldsGroup theoryElectronic books.Geometry, Differential.Contact manifolds.Group theory.515.782Ivanov Stefan P936031Vassilev Dimiter N947088MiAaPQMiAaPQMiAaPQBOOK9910464496003321Extremals for the Sobolev inequality and the quaternionic contact Yamabe problem2139940UNINA