Sub-Riemannian Geometry: Progress in Mathematics Series

Basel, Switzerland: Birkhauser Verlag. New with No Dust Jacket as issued. 1996. First Printing. Hard Cover. 393 pages: 6.5 x 9.5 in.: 1.8: KB#007487: No Jacket As Issued. BRAND NEW. Printing Number Line (9 8 7 6 5 4 3 2 1). Boards and pages are clean, unmarked, bright, tightly bound and sharp cornered. Scarce, Out Of Print, Book. "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." .