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Symmetries of flat rank two distributions and sub-Riemannian structures
Author(s):
Yuri
L.
Sachkov
Journal:
Trans. Amer. Math. Soc.
356
(2004),
457-494.
MSC (2000):
Primary 53C17
Posted:
September 22, 2003
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Additional information
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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Additional Information:
Yuri
L.
Sachkov
Affiliation:
Program Systems Institute, Russian Academy of Sciences, 152140 Pereslavl-Zalessky, Russia
Email:
sachkov@sys.botik.ru
DOI:
10.1090/S0002-9947-03-03342-7
PII:
S 0002-9947(03)03342-7
Keywords:
Sub-Riemannian geometry,
symmetries,
distributions,
sub-Riemannian structures
Received by editor(s):
May 4, 2001
Posted:
September 22, 2003
Additional Notes:
This work was partially supported by the Russian Foundation for Basic Research, project No.~02-01-00506.
Copyright of article:
Copyright
2003,
American Mathematical Society
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