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Curvature A Variational Approach A Agrachev D Barilari L Rizzi

Name: Curvature A Variational Approach A Agrachev D Barilari L Rizzi
SKU: BELL-48299754
Price: 31.00 USD
Availability: InStock
Rating: 4.7 (86 reviews)

SKU: BELL-48299754

$ 31.00 ~~$ 45.00~~ (-31%)

4.7

86 reviews

Curvature A Variational Approach A Agrachev D Barilari L Rizzi instant download after payment.

Publisher: American Mathematical Soc.

File Extension: PDF

File size: 3.29 MB

Pages: 142

Author: A. Agrachev, D. Barilari, L. Rizzi

ISBN: 9781470426460, 1470426463

Language: English

Year: 2019

Product desciption

Curvature A Variational Approach A Agrachev D Barilari L Rizzi by A. Agrachev, D. Barilari, L. Rizzi 9781470426460, 1470426463 instant download after payment.

The curvature discussed in this paper is a far reaching generalization of the Riemannian sectional curvature. The authors give a unified definition of curvature which applies to a wide class of geometric structures whose geodesics arise from optimal control problems, including Riemannian, sub-Riemannian, Finsler and sub-Finsler spaces. Special attention is paid to the sub-Riemannian (or Carnot–Carathéodory) metric spaces. The authors' construction of curvature is direct and naive, and similar to the original approach of Riemann. In particular, they extract geometric invariants from the asymptotics of the cost of optimal control problems. Surprisingly, it works in a very general setting and, in particular, for all sub-Riemannian spaces.