Item description for Sub-Riemannian Geometry (Progress in Mathematics) by Andre Bellaiche...
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
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Est. Packaging Dimensions: Length: 9.6" Width: 6.5" Height: 1.1" Weight: 1.45 lbs.
Release Date Nov 8, 1996
Publisher Birkhäuser Basel
ISBN 3764354763 ISBN13 9783764354763
Availability 85 units. Availability accurate as of Oct 22, 2016 02:14.
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