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Sub-Riemannian Geometry: 144 (Progress in Mathematics) - Tapa blanda

 
9783034899468: Sub-Riemannian Geometry: 144 (Progress in Mathematics)
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ISBN 10: 3034899467 ISBN 13: 9783034899468
Editorial: Birkhäuser, 2011

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3034899467
ISBN 13 
9783034899468
Encuadernación
Tapa blanda
Número de páginas
398
Editor
Bellaiche Andre, Risler Jean-Jaques
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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