Band 144
Sub-Riemannian Geometry
Aus der Reihe
Progress in Mathematics
-
- Hardcover
- Taschenbuch ausgewählt
-
Sprache:Englisch
Fr. 137.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
18.10.2011
Herausgeber
Andre Bellaiche + weitereVerlag
Springer BaselSeitenzahl
398
Maße (L/B/H)
23.5/15.5/2.3 cm
Gewicht
628 g
Auflage
Softcover reprint of the original 1st ed. 1996
Sprache
Englisch
ISBN
978-3-0348-9946-8
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
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
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