Sub-Riemannian Geometry: Progress in Mathematics Series

Bellaiche, Andre (Editor) / Risler, Jean - Jaques (Editor)

ISBN 10: 3764354763 / ISBN 13: 9783764354763

Published by Birkhauser Verlag, Basel, Switzerland, 1996

About this Item

393 pages: 6.5 x 9.5 in.: 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.".

Seller Inventory # 007487

Bibliographic Details

• Title: Sub-Riemannian Geometry: Progress in Mathematics Series
• Publisher: Birkhauser Verlag, Basel, Switzerland
• Publication Date: 1996
• Language: English
• ISBN 10: 3764354763
• ISBN 13: 9783764354763
• Binding: Hard Cover
• Edition: First Printing.
• Condition: New
• Dust Jacket Condition: No Dust Jacket As Issued
• Weight: 1.8 pounds

About this title

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:
• 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