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Sub-Riemannian Geometry 1996 Edition
Contributor(s): Bellaiche, Andre (Editor), Risler, Jean-Jaques (Editor)
ISBN: 3764354763     ISBN-13: 9783764354763
Publisher: Birkhauser
OUR PRICE:   $104.49  
Product Type: Hardcover
Published: September 1996
Qty:
Annotation: 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: Andri Bellaoche: The tangent space in sub-Riemannian geometry Mikhael Gromov: Carnot-Carathiodory spaces seen from within Richard Montgomery: Survey of singular geodesics Hictor J. Sussmann: A cornucopia of four-dimensional abnormal sub-Riemannian minimizers Jean-Michel Coron: Stabilization of controllable systems
Additional Information
BISAC Categories:
- Mathematics | Geometry - Differential
- Mathematics | Mathematical Analysis
Dewey: 516.362
LCCN: 96035950
Series: Icsell
Physical Information: 0.94" H x 6.14" W x 9.21" (1.66 lbs) 398 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

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