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Autore: | Bahri Abbas |
Titolo: | Recent progress in conformal geometry [[electronic resource] /] / Abbas Bahri, Yongzhong Xu |
Pubblicazione: | London, : Imperial College Press, c2007 |
Descrizione fisica: | 1 online resource (522 p.) |
Disciplina: | 516.35 |
516.36 | |
Soggetto topico: | Conformal geometry |
Altri autori: | XuYongzhong |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references (p. 199, 509). |
Nota di contenuto: | 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 Introduction |
2.2 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; Bibliography | |
Sommario/riassunto: | This 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 Legrend |
Titolo autorizzato: | Recent progress in conformal geometry |
ISBN: | 1-281-12065-0 |
9786611120658 | |
1-86094-860-X | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910784004503321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |