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|a UAMI
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|a Bahri, Abbas.
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|a Recent progress in conformal geometry /
|c Abbas Bahri, Yongzhong Xu.
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260 |
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|a London :
|b Imperial College Press,
|c ©2007.
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300 |
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|a 1 online resource (xii, 507 pages) :
|b illustrations.
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|a text
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|a Imperial College Press advanced texts in mathematics ;
|v vol. 1
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|a Includes bibliographical references (page 199, 509).
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|a Print version record.
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|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.
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505 |
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|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
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505 |
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|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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546 |
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|a English.
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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650 |
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|a Conformal geometry.
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650 |
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6 |
|a Géométrie conforme.
|
650 |
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|a MATHEMATICS
|x Geometry
|x Differential.
|2 bisacsh
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650 |
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7 |
|a Conformal geometry
|2 fast
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700 |
1 |
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|a Xu, Yongzhong.
|
776 |
0 |
8 |
|i Print version:
|a Bahri, Abbas.
|t Recent progress in conformal geometry.
|d London : Imperial College Press, ©2007
|w (DLC) 2008353423
|
830 |
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|a Imperial College Press advanced texts in mathematics ;
|v v. 1.
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