Sub-Riemannian Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1996
|
| Schriftenreihe: | Progress in Mathematics
144 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: • control theory • classical mechanics • Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) • diffusion on manifolds • analysis of hypoelliptic operators • Cauchy-Riemann (or CR) geometry. Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics. This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists: • André Bellaïche: The tangent space in sub-Riemannian geometry • Mikhael Gromov: Carnot-Carathéodory spaces seen from within • Richard Montgomery: Survey of singular geodesics • Héctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers • Jean-Michel Coron: Stabilization of controllable systems |
| Beschreibung: | 1 Online-Ressource (VIII, 398 p) |
| ISBN: | 9783034892100 9783034899468 |
| DOI: | 10.1007/978-3-0348-9210-0 |
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Datensatz im Suchindex
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| author | Bellaïche, André |
| author_facet | Bellaïche, André |
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| ctrlnum | (OCoLC)863766911 (DE-599)BVBBV042422327 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-9210-0 |
| format | Electronic eBook |
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| isbn | 9783034892100 9783034899468 |
| language | English |
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| spelling | Bellaïche, André Verfasser aut Sub-Riemannian Geometry edited by André Bellaïche, Jean-Jacques Risler Basel Birkhäuser Basel 1996 1 Online-Ressource (VIII, 398 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 144 Sub-Riemannian geometry (also known as Carnot geometry in France, and non-holonomic Riemannian geometry in Russia) has been a full research domain for fifteen years, with motivations and ramifications in several parts of pure and applied mathematics, namely: • control theory • classical mechanics • Riemannian geometry (of which sub-Riemannian geometry constitutes a natural generalization, and where sub-Riemannian metrics may appear as limit cases) • diffusion on manifolds • analysis of hypoelliptic operators • Cauchy-Riemann (or CR) geometry. Although links between these domains had been foreseen by many authors in the past, it is only in recent years that sub- Riemannian geometry has been recognized as a possible common framework for all these topics. This book provides an introduction to sub-Riemannian geometry and presents the state of the art and open problems in the field. It consists of five coherent and original articles by the leading specialists: • André Bellaïche: The tangent space in sub-Riemannian geometry • Mikhael Gromov: Carnot-Carathéodory spaces seen from within • Richard Montgomery: Survey of singular geodesics • Héctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers • Jean-Michel Coron: Stabilization of controllable systems Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Riemannsche Geometrie (DE-588)4128462-8 s 2\p DE-604 Risler, Jean-Jacques Sonstige oth https://doi.org/10.1007/978-3-0348-9210-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bellaïche, André Sub-Riemannian Geometry Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik 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 edited by André Bellaïche, Jean-Jacques Risler |
| title_fullStr | Sub-Riemannian Geometry edited by André Bellaïche, Jean-Jacques Risler |
| title_full_unstemmed | Sub-Riemannian Geometry edited by André Bellaïche, Jean-Jacques Risler |
| title_short | Sub-Riemannian Geometry |
| title_sort | sub riemannian geometry |
| topic | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Mathematics Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Mathematik Riemannsche Geometrie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-9210-0 |
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