A comprehensive introduction to sub-Riemannian geometry / Andrei Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko.

Format:

Book

Author/Creator:

Agrachev, Andrei A., author.

Barilari, Davide, author.

Boscain, Ugo, author.

Series:

Cambridge studies in advanced mathematics ; 181.

Cambridge studies in advanced mathematics ; 181

Language:

English

Subjects (All):

Geometry, Riemannian.

Physical Description:

1 online resource (xviii, 745 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2020.

Language Note:

English

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:

Title from publisher's bibliographic system (viewed on 28 Oct 2019).

Includes bibliographical references and index.

ISBN:

9781108757256

1108757251

9781108754514

1108754511

9781108677325

1108677320