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Recent progress in conformal geometry

Author: Abbas Bahri; Yongzhong Xu
Publisher: London : Imperial College Press, ©2007.
Series: Imperial College Press advanced texts in mathematics, v. 1.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Abbas Bahri; Yongzhong Xu
ISBN: 9781860947728 1860947727
OCLC Number: 144224887
Description: xii, 507 pages : illustrations ; 24 cm.
Contents: Sign-Changing Yamabe-Type Problems: General Introduction; Results and Conditions; Conjecture 2 and Sketch of the Proof of Theorem 1; Outline; The Difference of Topology; Open Problems; Preliminary Estimates and Expansions, the Principal Terms; Preliminary Estimates; Proof of the Morse Lemma at Infinity when the Concentrations are Comparable; Proof of the Morse Lemma at Infinity; Contact Form Geometry: General Introduction; On the Dynamics of a Contact Structure Along a Vector Field of Its Kernel; Appendix 1; The Normal Form of ( , ) Near an Attractive Periodic Orbit of ; Compactness; Transmutations; On the Morse Index of a Functional Arising in Contact Form Geometry; and other chapters.
Series Title: Imperial College Press advanced texts in mathematics, v. 1.
Responsibility: Abbas Bahri, Yongzhong Xu.
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Abstract:

New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This book presents a front of research in conformal geometry, on sign-changing  Read more...

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