Sub-Riemannian Geometry (Progress in Mathematics)

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9783034899468: Sub-Riemannian Geometry (Progress in Mathematics)

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

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Book Description Birkhauser. Paperback. Book Condition: New. Paperback. 408 pages. Dimensions: 9.0in. x 6.1in. x 0.9in.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 Bellache: The tangent space in sub-Riemannian geometry Mikhael Gromov: Carnot-Carathodory spaces seen from within Richard Montgomery: Survey of singular geodesics Hctor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers Jean-Michel Coron: Stabilization of controllable systems This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783034899468

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Book Description Springer Basel, Switzerland, 2011. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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: * Andre Bellaiche: The tangent space in sub-Riemannian geometry * Mikhael Gromov: Carnot-Caratheodory spaces seen from within * Richard Montgomery: Survey of singular geodesics * Hector J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers * Jean-Michel Coron: Stabilization of controllable systems Softcover reprint of the original 1st ed. 1996. Bookseller Inventory # AAV9783034899468

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