ISOMETRIES ON ROTO - TRANSLATION GROUP
Abstract
We describe the group of С2-smooth isometries on contact sub-Riemannian manifold, precisely on roto-translation group. We find the conditions providing for a vector field to generate the local one-parameter group of contact or local biLipschitz transformations of roto-translation group.
Keywords
517.988.2, 514.763.2
About the Author
Daria Vasilievna Isangulova
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences
Russian Federation
Russian Federation
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Review
For citations:
Isangulova D.V. ISOMETRIES ON ROTO - TRANSLATION GROUP. The Bulletin of Kemerovo State University. 2011;(3-1):243-249. (In Russ.)
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