Sub-Riemannian Geometry.

Bellaiche, Andre und Jean-Jacques Risler:

ISBN 10: 3764354763 / ISBN 13: 9783764354763

Published by Birkhäuser, 1996

About this Item

412 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-02857 9783764354763 Sprache: Englisch Gewicht in Gramm: 1050.

Seller Inventory # 2488741

Bibliographic Details

• Title: Sub-Riemannian Geometry.
• Publisher: Birkhäuser
• Publication Date: 1996
• Language: English
• ISBN 10: 3764354763
• ISBN 13: 9783764354763
• Binding: Hardcover
• Weight: 1050 grams
• Seller catalogs:
  • AA Varia

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