Title: Symmetries of flat rank two distributions and sub-Riemannian Structures

Authors: Yu. L. Sachkov

Journal title: Transactions of the American Mathematical Society

Year: 2004

Issue: 2

Volume: 356

Pages: 457-494

Abstract:

Flat sub-Riemannian structures are local approximations — nilpotentizations — of sub-Riemannian structures at regular points. Lie algebras of symmetries of flat maximal growth distributions and sub-Riemannian structures of rank two are computed in dimensions 3, 4, and 5.

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