Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics - Scuola Normale Superiore | Elements of geometric measure theory on sub-riemannian groups

Elements of geometric measure theory on sub-riemannian groups

Magnani, Valentino

195 p.


Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

(net) price for USA

ISBN 978-88-7642-152-5

free shipping for individuals worldwide

The book title is in reprint. You can already preorder it.

add to marked items

  • About this book

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.

Content Level » Research

Keywords » geometric measure theory - sub-riemannian

Related subjects » Scuola Normale Superiore

Popular Content within this publication 



Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Differential Geometry.