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:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
c2007
|
| Schriftenreihe: | Imperial College Press advanced texts in mathematics
v. 1 |
| Schlagworte: | |
| Online-Zugang: | FHN01 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 Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable |
| Beschreibung: | xii, 509 p. ill |
| ISBN: | 9781860948602 |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044633694 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9781860948602 |
| language | English |
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| physical | xii, 509 p. ill |
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| publisher | Imperial College Press |
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| series2 | Imperial College Press advanced texts in mathematics |
| spelling | Bahri, Abbas Verfasser aut Recent progress in conformal geometry Abbas Bahri, Yongzhong Xu London Imperial College Press c2007 xii, 509 p. ill txt rdacontent c rdamedia cr rdacarrier Imperial College Press advanced texts in mathematics v. 1 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 Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable Conformal geometry Konforme Differentialgeometrie (DE-588)4206468-5 gnd rswk-swf Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Konforme Differentialgeometrie (DE-588)4206468-5 s Globale Differentialgeometrie (DE-588)4021286-5 s 1\p DE-604 Xu, Yongzhong Sonstige oth Erscheint auch als Druck-Ausgabe 1860947727 Erscheint auch als Druck-Ausgabe 9781860947728 http://www.worldscientific.com/worldscibooks/10.1142/P496#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bahri, Abbas Recent progress in conformal geometry Conformal geometry Konforme Differentialgeometrie (DE-588)4206468-5 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd |
| subject_GND | (DE-588)4206468-5 (DE-588)4021286-5 |
| 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 Konforme Differentialgeometrie (DE-588)4206468-5 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd |
| topic_facet | Conformal geometry Konforme Differentialgeometrie Globale Differentialgeometrie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/P496#t=toc |
| work_keys_str_mv | AT bahriabbas recentprogressinconformalgeometry AT xuyongzhong recentprogressinconformalgeometry |