Recent Progress In Conformal Geometry.

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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bahri, Abbas
Otros Autores: Xu, Yongzhong
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2007.
Colección:ICP Advanced Texts in Mathematics, v. 1.
Temas:
Conformal geometry.
Géométrie conforme.
Conformal geometry
Acceso en línea:Texto completo

MARC

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100 1 |a Bahri, Abbas. 
245 1 0 |a Recent Progress In Conformal Geometry. 
260 |a Singapore :  |b World Scientific,  |c 2007. 
300 |a 1 online resource (522 pages) 
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490 1 |a ICP Advanced Texts in Mathematics, v. 1 
520 |a 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. 
588 0 |a Print version record. 
505 0 |a 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 
505 8 |a 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 
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650 0 |a Conformal geometry. 
650 6 |a Géométrie conforme. 
650 7 |a Conformal geometry  |2 fast 
700 1 |a Xu, Yongzhong. 
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776 1 |z 9781860947728 
830 0 |a ICP Advanced Texts in Mathematics, v. 1. 
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