Symmetries of flat rank two distributions and sub-Riemannian structures

Sachkov, Yuri

doi:10.1090/S0002-9947-03-03342-7

Symmetries of flat rank two distributions and sub-Riemannian structures
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Trans. Amer. Math. Soc. 356 (2004), 457-494 Request permission

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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