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Elements of geometric measure theory on sub-riemannian groups (Publications of the Scuola...

Home > Mathematics Books > Group Theory > Item 439

	Elements of geometric measure theory on sub-riemannian groups (Publications of the Scuola...
	by Valentino Magnani Sales Rank: 7152430	List Price: ~~$14.95~~ $14.95 At Amazon on 12-6-2008

Paperback: 195 pages Publisher: Edizioni della Normale; 1 edition May 2007 Language: English ISBN-10: 8876421521 ISBN-13: 978-8876421525 Shipping Information: *Product Description* The main purpose of this thesis is to extend methods and results of geometric measure theory to the geometries of sub-riemannian groups. Typical features of sub-riemannian structures historically appeared in several fields of mathematics. Perhaps, the first seeds can be found in the 1909 work by Carathéodory on the second principle of thermodynamics. The Carathéodory theorem can be generalized to distributions of any codimension, whose Lie algebra generates the tangent space at each point. The condition on the distribution is known in Nonholonomic Mechanics, subelliptic PDE's and Optimal Control Theory as total nonholonomicity, Hormander condition, bracket generating condition or Chow condition.
Elements of geometric measure theory on sub-riemannian groups (Publications of the Scuola... Available from Amazon Price: $14.95 Updated on 12-6-2008

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