A Comprehensive Introduction to Sub-Riemannian Geometry

Released on by Andrei Agrachev
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  • A Comprehensive Introduction to Sub-Riemannian Geometry Book Detail

  • Author : Andrei Agrachev
  • Release Date : 2019-10-31
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 765
  • ISBN 13 : 1108757251
  • File Size : 11,11 MB
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A Comprehensive Introduction to Sub-Riemannian Geometry by Andrei Agrachev PDF Summary

Book Description: 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.

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Geometric Science of Information

Geometric Science of Information

File Size : 67,67 MB
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This book constitutes the refereed proceedings of the Second International Conference on Geometric Science of Information, GSI 2015, held in Palaiseau, France,