Sub-Riemannian geometry:
Saved in:
| Format: | Book |
|---|---|
| Language: | German |
| Published: |
Basel [u.a.]
Birkhäuser
1996
|
| Series: | Progress in mathematics
144 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 393 S. |
| ISBN: | 3764354763 0817654763 |
Staff View
MARC
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| 245 | 1 | 0 | |a Sub-Riemannian geometry |c André Bellaïche ... ed. |
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Record in the Search Index
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| adam_text | Contents
The tangent space
in sub Riemannian geometry
Andre Bellaiche
§ 1. Sub Riemannian manifolds 4
§ 2. Accessibility 10
§ 3. Two examples 23
§ 4. Privileged coordinates 30
§ 5. The tangent nilpotent Lie algebra and the algebraic structure of
the tangent space 43
§ 6. Gromov s notion of tangent space 54
§ 7. Distance estimates and the metric tangent space 56
§ 8. Why is the tangent space a group? 73
References 77
Carnot Caratheodory spaces
seen from within*
MlKHAEL GROMOV
§ 0. Basic definitions, examples and problems 85
§ 1. Horizontal curves and small OC balls 112
§ 2. Hypersurfaces in OC spaces 152
§ 3. Carnot Caratheodory geometry of contact manifolds 196
§ 4. Pfaffian geometry in the internal light 234
§ 5. Anisotropic connections 302
References 318
Survey of singular geodesies
Richard Montgomery
§ 1. Introduction 325
§ 2. The example and its properties 331
§ 3. Some open questions 336
§ 4. Note in proof 337
References 338
CONTENTS
A cornucopia of four dimensional
abnormal sub Riemannian minimizers
Hector J. Sussmann
§ 1. Introduction 342
§ 2. Sub Riemannian manifolds and abnormal extremals 345
§ 3. Abnormal extremals in dimension 4 351
§ 4. Optimality 355
§ 5. An optimality lemma 357
§ 6. End of the proof 361
§ 7. Strict abnormality 362
§ 8. Conclusion 363
References 364
Stabilization of controllable systems
Jean Michel Coron
§ 0. Introduction 365
§ 1. Local controllability 365
§ 2. Sufficient conditions for local stabilizability of locally
controllable systems by means of stationary feedback laws ¦ • • • 368
§ 3. Necessary conditions for local stabilizability by means of
stationary feedback laws 371
§ 4. Stabilization by means of time varying feedback laws 376
§ 5. Return method and controllability 380
References 384
Index 389
|
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:00:45Z |
| institution | BVB |
| isbn | 3764354763 0817654763 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007287754 |
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| physical | VIII, 393 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Sub-Riemannian geometry André Bellaïche ... ed. Basel [u.a.] Birkhäuser 1996 VIII, 393 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 144 Géométrie différentielle globale Géométrie différentielle globale ram Global differential geometry Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Riemannsche Geometrie (DE-588)4128462-8 s DE-604 Bellaïche, André Sonstige oth Progress in mathematics 144 (DE-604)BV000004120 144 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007287754&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sub-Riemannian geometry Progress in mathematics Géométrie différentielle globale Géométrie différentielle globale ram Global differential geometry Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4128462-8 (DE-588)4143413-4 |
| title | Sub-Riemannian geometry |
| title_auth | Sub-Riemannian geometry |
| title_exact_search | Sub-Riemannian geometry |
| title_full | Sub-Riemannian geometry André Bellaïche ... ed. |
| title_fullStr | Sub-Riemannian geometry André Bellaïche ... ed. |
| title_full_unstemmed | Sub-Riemannian geometry André Bellaïche ... ed. |
| title_short | Sub-Riemannian geometry |
| title_sort | sub riemannian geometry |
| topic | Géométrie différentielle globale Géométrie différentielle globale ram Global differential geometry Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Géométrie différentielle globale Global differential geometry Riemannsche Geometrie Aufsatzsammlung |
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