The structure of classical diffeomorphism groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1997
|
| Schriftenreihe: | Mathematics and its applications
400 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 197 S. |
| ISBN: | 0792344758 |
Internformat
MARC
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| 245 | 1 | 0 | |a The structure of classical diffeomorphism groups |c by Augustin Banyaga |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1997 | |
| 300 | |a XI, 197 S. | ||
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Datensatz im Suchindex
| _version_ | 1804128030835081216 |
|---|---|
| adam_text | TABLE OF CONTENTS
1. DIFFEOMORPHISM GROUPS : A FIRST GLANCE 1
1.1. The group DifF (M) 1
1.2. The smooth structure of DifT(M) 3
1.3. Basic examples and classical difleomorphism groups 6
1.4. Some properties of Lie algebras of vector fields 15
1.5. Splitting of the de Rham complex 18
2. THE SIMPLICITY OF DIFFEOMORPHISM GROUPS 23
2.1. From perfectness to simplicity 23
2.2. Epstein s theorem 37
2.3. Herman s theorem 41
2.4. Foliations and diffeomorphism groups 47
2.5. Equivariant diffeomorphisms 49
3. THE GEOMETRY OF THE FLUX 55
3.1. The flux homomorphism 55
3.2. The transgression of the flux 69
3.3. The flux and gauge groups 81
3.4. More cohomology classes related to the flux 85
4. SYMPLECTIC DIFFEOMORPHISMS 93
4.1. The Weinstein chart 93
4.2. A first glance at the kernel of the flux and new invariants 98
4.3. Statement of the main results 112
4.4. Symplectic of the torus T2n 113
4.5. The symplectic deformation lemma 116
5. VOLUME PRESERVING DIFFEOMORPHISMS 124
5.1. Statement of the main results 124
5.2. Proof of Thurston s fragmentation lemma 127
5.3. Proof of the volume preserving deformation lemma 131
viii
6. CONTACT DIFFEOMORPHISMS 138
6.1. Contact Geometry preliminaries 138
6.2. The Lychagin chart 143
6.3. Epstein axioms hold for contact difTeomorphisms 145
6.4. The transverse flux 149
6.5. The group of strictly contact diffeomorphisms 153
7. ISOMORPHISMS BETWEEN DIFFEOMORPHISM
GROUPS 155
7.1. Statement of the main results 155
7.2. Pursell Shanks and Omori s theorems 158
7.3. Takens theorem and its generalizations 163
7.4. The General Theory 167
7.5. The contact case 174
7.6. The symplectic and volume preserving cases 177
7.7. The measure preserving homeomorphisms 179
7.8. Miscellaneous problems 182
Bibliography 184
Index 196
|
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| author | Banyaga, Augustin 1947- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 |
| dewey-search | 514/.72 |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013265392 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:42:46Z |
| institution | BVB |
| isbn | 0792344758 |
| language | English |
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| oclc_num | 36292867 |
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| physical | XI, 197 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Banyaga, Augustin 1947- Verfasser (DE-588)15213056X aut The structure of classical diffeomorphism groups by Augustin Banyaga Dordrecht [u.a.] Kluwer 1997 XI, 197 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 400 Diffeomorphisms Diffeomorphismus (DE-588)4149767-3 gnd rswk-swf Diffeomorphismus (DE-588)4149767-3 s DE-604 Mathematics and its applications 400 (DE-604)BV008163334 400 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009043314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Banyaga, Augustin 1947- The structure of classical diffeomorphism groups Mathematics and its applications Diffeomorphisms Diffeomorphismus (DE-588)4149767-3 gnd |
| subject_GND | (DE-588)4149767-3 |
| title | The structure of classical diffeomorphism groups |
| title_auth | The structure of classical diffeomorphism groups |
| title_exact_search | The structure of classical diffeomorphism groups |
| title_full | The structure of classical diffeomorphism groups by Augustin Banyaga |
| title_fullStr | The structure of classical diffeomorphism groups by Augustin Banyaga |
| title_full_unstemmed | The structure of classical diffeomorphism groups by Augustin Banyaga |
| title_short | The structure of classical diffeomorphism groups |
| title_sort | the structure of classical diffeomorphism groups |
| topic | Diffeomorphisms Diffeomorphismus (DE-588)4149767-3 gnd |
| topic_facet | Diffeomorphisms Diffeomorphismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009043314&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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