03423nam 22006374a 450 991045110480332120200520144314.01-281-12065-097866111206581-86094-860-X(CKB)1000000000336315(EBL)312346(OCoLC)476099834(SSID)ssj0000233772(PQKBManifestationID)11187493(PQKBTitleCode)TC0000233772(PQKBWorkID)10234422(PQKB)11483189(MiAaPQ)EBC312346(WSP)0000P496(PPN)168237938(Au-PeEL)EBL312346(CaPaEBR)ebr10188752(CaONFJC)MIL112065(EXLCZ)99100000000033631520080109d2007 uy 0engur|n|---|||||txtccrRecent progress in conformal geometry[electronic resource] /Abbas Bahri, Yongzhong XuLondon Imperial College Pressc20071 online resource (522 p.)Imperial College Press advanced texts in mathematics ;vol. 1Description based upon print version of record.1-86094-772-7 Includes bibliographical references (p. 199, 509).Preface A. Bahri and Y. Xu; Contents; 1. Sign-Changing Yamabe-Type Problems; 1.1 General Introduction; 1.2 Results and Conditions; 1.3 Conjecture 2 and Sketch of the Proof of Theorem 1; Outline; 1.4 The Difference of Topology; 1.5 Open Problems; 1.6 Preliminary Estimates and Expansions, the Principal Terms; 1.7 Preliminary Estimates; 1.8 Proof of the Morse Lemma at Infinity When the Concentrations are Comparable; 1.9 Redirecting the Estimates, Estimates on - ̄vi-H1; Bibliography; 2. Contact Form Geometry; 2.1 General Introduction2.2 On the Dynamics of a Contact Structure along a Vector Field of its Kernel2.3 Appendix 1; 2.4 The Normal Form of (a, v) Near an Attractive Periodic Orbit of v; 2.5 Compactness; 2.6 Transmutations; 2.7 On the Morse Index of a Functional Arising in Contact Form Geometry; 2.8 Calculation of ?2J (x ).u2.u2; 2.9 Calculation of ?2J (x ).u2.u4; 2.10 Other Second Order Derivatives; 2.11Appendix; BibliographyThis book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction. In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on LegrendImperial College Press advanced texts in mathematics ;v. 1.Conformal geometryElectronic books.Conformal geometry.516.35516.36Bahri Abbas150385Xu Yongzhong739452MiAaPQMiAaPQMiAaPQBOOK9910451104803321Recent progress in conformal geometry1464773UNINA