A comprehensive introduction to sub-Riemannian geometry : from the Hamiltonian viewpoint / Andrei Agrachev (Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste), Davide Barilari (Université Paris Diderot, Paris), Ugo Boscain (Centre National de la Recherche Scientifique (CNRS), LJLL, Sorbonne Université, Paris and Inria Paris) ; with an appendix by Igor Zelenko (Texas A & M University).

Format:

Book

Author/Creator:

Agrachev, Andrei A., author.

Barilari, Davide, author.

Boscain, Ugo, author.

Contributor:

Zelenko, Igor, contributor.

Series:

Cambridge studies in advanced mathematics ; 181.

Cambridge studies in advanced mathematics ; 181

Language:

English

Subjects (All):

Geometry, Riemannian.

Physical Description:

xviii, 745 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2020.

Summary:

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.

Notes:

Includes bibliographical references and index.

Other Format:

ebook version :

ISBN:

9781108476355

110847635X

OCLC:

1097446935