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Recent progress in conformal geometry /

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: London : Imperial College Press, ©2007.
Colección:Imperial College Press advanced texts in mathematics ; v. 1.
Temas:
Acceso en línea:Texto completo

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245 1 0 |a Recent progress in conformal geometry /  |c Abbas Bahri, Yongzhong Xu. 
260 |a London :  |b Imperial College Press,  |c ©2007. 
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504 |a Includes bibliographical references (page 199, 509). 
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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. 
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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