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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1989 Volume 172, Pages 21–40 (Mi znsl4478)

This article is cited in 10 papers

A nilpotent Lie algebras bundle over a non-holonomic manifold (Nilpotentization)

A. M. Vershik, V. Ya. Gershkovich


Abstract: 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.

UDC: 514.763


 English version:
Journal of Soviet Mathematics, 1992, 59:5, 1040–1053

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