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Catalogue Information
Field name	Details
Dewey Class	516.373
Title	A comprehensive introduction to sub-Riemannian geometry : from the Hamiltonian viewpoint ([EBook]) / Andrei A. Agrachev, Davide Barilari, Ugo Boscain ; with an appendix by Igor Zelenko
Author	Agrachev, Andrei A.
Added Personal Name	Barilari, Davide
	Boscain, Ugo
	Zelenko, Igor
Publication	Cambridge : Cambridge University Press , 2020
Physical Details	: online resource
Series	Cambridge studies in advanced mathematics ; 181
ISBN	9781108677325
Summary Note	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.:
Mode of acces to digital resource	Digital reproduction.- Cambridge: Cambridge University Press, 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1017/9781108677325
Links to Related Works	Subject References: Geometry . Riemannian geometry . Topology . Authors: Agrachev, Andrei A. . Barilari, Davide . Boscain, Ugo . Zelenko, Igor . Series: Cambridge studies in advanced mathematics . Classification: 516.373 .

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A comprehensive introduction to sub-Riemannian geometry: from the Hamiltonian viewpoint

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