Sub-Riemannian Geometry

. Ed(s): Bass, Hyman; Risler, Jean-Jaques

ISBN 10: 3764354763 ISBN 13: 9783764354763

Edit� par Birkhauser Verlag AG, 1996

Neuf(s) Couverture rigide

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A propos de cet article

Sub-Riemannian geometry has been a full research domain, with motivations and ramifications in several parts of pure and applied mathematics. This book provides an introduction to sub-Riemannian geometry. Editor(s): Bass, Hyman; Risler, Jean-Jaques. Series: Progress in Mathematics. Num Pages: 398 pages, biography. BIC Classification: PBMP. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 23. Weight in Grams: 752. . 1996. 1996th Edition. hardcover. . . . . N� de r�f. du vendeur V9783764354763

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Synopsis :

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:
- Andr� Bella�che: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Carath�odory spaces seen from within - Richard Montgomery: Survey of singular geodesics - H�ctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

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Titre : Sub-Riemannian Geometry
�diteur : Birkhauser Verlag AG
Date d'�dition : 1996
Reliure : Couverture rigide
Etat : New

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Sub-Riemannian Geometry

BELLAICHE, ANDRE; RISLER, JEAN-JACQUES, (Eds.)

Edit� par Birkhauser Verlag AG, Basel, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

Ancien ou d'occasion Couverture rigide

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Sub-Riemannian Geometry (Progress in Mathematics, 144, Band 144)

Andre Bellaiche:

Edit� par Basel. Birkh�user Verlag., 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

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Edit� par Birkh�user, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

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Etat : Gut. Zustand: Gut | Seiten: 412 | Sprache: Englisch | Produktart: B�cher | 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: � Andr� Bella�che: The tangent space in sub-Riemannian geometry � Mikhael Gromov: Carnot-Carath�odory spaces seen from within � Richard Montgomery: Survey of singular geodesics � H�ctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers � Jean-Michel Coron: Stabilization of controllable systems. N� de r�f. du vendeur 830235/203

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Edit� par Birkh�user, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 412 | Sprache: Englisch | Produktart: B�cher | 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: � Andr� Bella�che: The tangent space in sub-Riemannian geometry � Mikhael Gromov: Carnot-Carath�odory spaces seen from within � Richard Montgomery: Survey of singular geodesics � H�ctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers � Jean-Michel Coron: Stabilization of controllable systems. N� de r�f. du vendeur 830235/12

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Sub-Riemannian Geometry.

Bellaiche, Andre und Jean-Jacques Risler:

Edit� par Birkh�user, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

Ancien ou d'occasion Couverture rigide

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Hardcover. 412 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-02857 9783764354763 Sprache: Englisch Gewicht in Gramm: 1050. N� de r�f. du vendeur 2488741

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Sub-Riemannian Geometry

Bellaiche, Andre|Risler, Jean-Jaques

Edit� par Birkh�user Basel, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

Neuf Couverture rigide

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Gebunden. Etat : New. N� de r�f. du vendeur 5279138

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Sub-Riemannian Geometry

Andre Bellaiche

Edit� par Birkh�user, Birkh�user Sep 1996, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

Neuf Buch

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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The tangent space in sub-Riemannian geometry.- 1. Sub-Riemannian manifolds.- 2. Accessibility.- 3. Two examples.- 4. Privileged coordinates.- 5. The tangent nilpotent Lie algebra and the algebraic structure of the tangent space.- 6. Gromov's notion of tangent space.- 7. Distance estimates and the metric tangent space.- 8. Why is the tangent space a group .- References.- Carnot-Carath�odory spaces seen from within.- 0. Basic definitions, examples and problems.- 1. Horizontal curves and small C-C balls.- 2. Hypersurfaces in C-C spaces.- 3. Carnot-Carath�odory geometry of contact manifolds.- 4. Pfaffian geometry in the internal light.- 5. Anisotropic connections.- References.- Survey of singular geodesics.- 1. Introduction.- 2. The example and its properties.- 3. Some open questions.- 4. Note in proof.- References.- A cornucopia of four-dimensional abnormal sub-Riemannian minimizers.- 1. Introduction.- 2. Sub-Riemannian manifolds and abnormal extremals.- 3. Abnormal extremals in dimension 4.- 4. Optimality.- 5. An optimality lemma.- 6. End of the proof.- 7. Strict abnormality.- 8. Conclusion.- References.- Stabilization of controllable systems.- 0. Introduction.- 1. Local controllability.- 2. Sufficient conditions for local stabilizability of locally controllable systems by means of stationary feedback laws.- 3. Necessary conditions for local stabilizability by means of stationary feedback laws.- 4. Stabilization by means of time-varying feedback laws.- 5. Return method and controllability.- References.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 412 pp. Englisch. N� de r�f. du vendeur 9783764354763

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Sub-Riemannian Geometry

Andre Bellaiche

Edit� par Birkh�user, Birkh�user, 1996

ISBN 10 : 3764354763 ISBN 13 : 9783764354763

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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:- Andr� Bella�che: The tangent space in sub-Riemannian geometry - Mikhael Gromov: Carnot-Carath�odory spaces seen from within - Richard Montgomery: Survey of singular geodesics - H�ctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers - Jean-Michel Coron: Stabilization of controllable systems. N� de r�f. du vendeur 9783764354763

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