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Anglický jazyk
Sub-Riemannian Geometry
Autor: Jean-Jaques Risler
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:
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O knihe
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
- Vydavateľstvo: Birkhäuser Basel
- Rok vydania: 2011
- Formát: Paperback
- Rozmer: 235 x 155 mm
- Jazyk: Anglický jazyk
- ISBN: 9783034899468
