A Comprehensive Introduction to Sub-Riemannian Geometry (Cambridge Studies in Advanced Mathematics, Series Number 181) - Hardcover

Book 109 of 140: Cambridge Studies in Advanced Mathematics

Agrachev, Andrei; Barilari, Davide; Boscain, Ugo

 
9781108476355: A Comprehensive Introduction to Sub-Riemannian Geometry (Cambridge Studies in Advanced Mathematics, Series Number 181)
Hardcover
ISBN 10: 110847635X ISBN 13: 9781108476355
Publisher: Cambridge University Press, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Authors

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.

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.

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2020
Language
English
ISBN 10 
110847635X
ISBN 13 
9781108476355
Binding
Hardcover
Number of pages
762