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A comprehensive introduction to sub-Riemannian geometry: from the Hamiltonian viewpoint
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Catalogue Information
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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
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Riemannian geometry
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Topology
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Authors:
Agrachev, Andrei A.
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Barilari, Davide
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Boscain, Ugo
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Zelenko, Igor
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Series:
Cambridge studies in advanced mathematics
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Classification:
516.373
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