A Comprehensive Introduction to Sub-Riemannian Geometry Contributor(s): Agrachev, Andrei (Author), Barilari, Davide (Author), Boscain, Ugo (Author) |
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ISBN: 110847635X ISBN-13: 9781108476355 Publisher: Cambridge University Press
Binding Type: Hardcover - See All Available Formats & Editions Published: October 2019 Click for more in this series: Cambridge Studies in Advanced Mathematics |
Additional Information |
BISAC Categories: - Mathematics | Topology - General - Mathematics | Geometry - Analytic |
Dewey: 516.373 |
LCCN: 2019014526 |
Series: Cambridge Studies in Advanced Mathematics |
Physical Information: 1.7" H x 6.1" W x 9.1" L (2.60 lbs) 762 pages |
Features: Bibliography, Index, Price on Product |
Descriptions, Reviews, Etc. |
Publisher Description: Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with applications to many areas such as quantum control, Hamiltonian dynamics, robotics and Lie theory. This comprehensive introduction proceeds from classical topics to cutting-edge theory and applications, assuming only standard knowledge of calculus, linear algebra and differential equations. The book may serve as a basis for an introductory course in Riemannian geometry or an advanced course in sub-Riemannian geometry, covering elements of Hamiltonian dynamics, integrable systems and Lie theory. It will also be a valuable reference source for researchers in various disciplines. |
Contributor Bio(s): Barilari, Davide: - Davide Barilari is Maître de Conférence at Université de Paris VII (Denis Diderot). His research interests are: sub-Riemannian geometry, hypoelliptic operators, curvature and optimal transport.Agrachev, Andrei: - Andrei Agrachev is currently a full professor at Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste. His research interests are: sub-Riemannian geometry, mathematical control theory, dynamical systems, differential geometry and topology, singularity theory and real algebraic geometry.Boscain, Ugo: - Ugo Boscain is Research Director at Centre National de la Recherche Scientifique (CNRS), Paris. His research interests are: sub-Riemannian geometry, hypoelliptic operators, quantum mechanics, singularity theory and geometric control. |
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