Connections on distributions and geodesic sprays

Autor:	S. V. Galaev, A. V. Bukusheva
Rok vydání:	2013
Předmět:	Hamiltonian vector field Geodesic General Mathematics Contact geometry Mathematical analysis Fundamental vector field Vector bundle Cotangent bundle Mathematics::Differential Geometry Invariant (physics) Mathematics Hamiltonian system
Zdroj:	Russian Mathematics. 57:7-13
ISSN:	1934-810X 1066-369X
DOI:	10.3103/s1066369x13040026
Popis:	We define (in a natural way) an almost contactmetric structure on a smooth distribution of a contact metric manifold considered as the total space of a vector bundle. We introduce notions of a geodesic spray of a connection on a smooth distribution and of a generalized Hamiltonian system. In terms of this system we give an invariant description of the motion of a mechanical system with constraints.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e5475b5c912bd0bbf1ca20597b5a3a4b https://doi.org/10.3103/s1066369x13040026 Zobrazit plný text záznamu Full text from SpringerLink