Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 21-40
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A. M. Vershik; V. Ya. Gershkovich. A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization). Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 21-40. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a1/
@article{ZNSL_1989_172_a1,
author = {A. M. Vershik and V. Ya. Gershkovich},
title = {A nilpotent {Lie} algebras bundle over a non-holonomic manifold {(Nilpotentization)}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {21--40},
year = {1989},
volume = {172},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a1/}
}
TY - JOUR
AU - A. M. Vershik
AU - V. Ya. Gershkovich
TI - A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 21
EP - 40
VL - 172
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a1/
LA - ru
ID - ZNSL_1989_172_a1
ER -
%0 Journal Article
%A A. M. Vershik
%A V. Ya. Gershkovich
%T A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 21-40
%V 172
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a1/
%G ru
%F ZNSL_1989_172_a1
On the tangent bundle of a non-holonomic manifold a canonical structure of a nilpotent Lie algebras bundle is introduced. The local ring of the non-holonomic manifold is interpreted as a ring of quasi-jets. This constructions are used to unify and simplify some results of non-holonomic geometry.
