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...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London :
Imperial College Press,
©2007.
|
| Schriftenreihe: | Imperial College Press advanced texts in mathematics ;
v. 1. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 507 pages :) |
| Bibliographie: | Includes bibliographical references (page 199, 509). |
| ISBN: | 9781860948602 186094860X 1281120650 9781281120656 9786611120658 6611120653 |
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| 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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| contents | 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 |
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| indexdate | 2024-10-25T16:17:39Z |
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| series | Imperial College Press advanced texts in mathematics ; |
| series2 | Imperial College Press advanced texts in mathematics ; |
| spelling | Bahri, Abbas. http://id.loc.gov/authorities/names/nr98015565 Recent progress in conformal geometry / Abbas Bahri, Yongzhong Xu. London : Imperial College Press, ©2007. 1 online resource (xii, 507 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Imperial College Press advanced texts in mathematics ; vol. 1 Includes bibliographical references (page 199, 509). Print version record. 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. 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 English. Conformal geometry. http://id.loc.gov/authorities/subjects/sh89002613 Géométrie conforme. MATHEMATICS Geometry Differential. bisacsh Conformal geometry fast Xu, Yongzhong. http://id.loc.gov/authorities/names/no2007030863 has work: Recent progress in conformal geometry (Text) https://id.oclc.org/worldcat/entity/E39PCFQW4qM64Y4hRVDqY3kQ4q https://id.oclc.org/worldcat/ontology/hasWork Print version: Bahri, Abbas. Recent progress in conformal geometry. London : Imperial College Press, ©2007 (DLC) 2008353423 Imperial College Press advanced texts in mathematics ; v. 1. http://id.loc.gov/authorities/names/no2007087803 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203917 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203917 Volltext |
| spellingShingle | Bahri, Abbas Recent progress in conformal geometry / Imperial College Press advanced texts in mathematics ; 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 Conformal geometry. http://id.loc.gov/authorities/subjects/sh89002613 Géométrie conforme. MATHEMATICS Geometry Differential. bisacsh Conformal geometry fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh89002613 |
| title | Recent progress in conformal geometry / |
| title_auth | Recent progress in conformal geometry / |
| title_exact_search | Recent progress in conformal geometry / |
| title_full | Recent progress in conformal geometry / Abbas Bahri, Yongzhong Xu. |
| title_fullStr | Recent progress in conformal geometry / Abbas Bahri, Yongzhong Xu. |
| title_full_unstemmed | Recent progress in conformal geometry / Abbas Bahri, Yongzhong Xu. |
| title_short | Recent progress in conformal geometry / |
| title_sort | recent progress in conformal geometry |
| topic | Conformal geometry. http://id.loc.gov/authorities/subjects/sh89002613 Géométrie conforme. MATHEMATICS Geometry Differential. bisacsh Conformal geometry fast |
| topic_facet | Conformal geometry. Géométrie conforme. MATHEMATICS Geometry Differential. Conformal geometry |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203917 |
| work_keys_str_mv | AT bahriabbas recentprogressinconformalgeometry AT xuyongzhong recentprogressinconformalgeometry |