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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 71–75
(Mi ivm7129)
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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of path
A. Yu. Danshin Chair of Theory of Relativity and Gravitation, Kazan State University, Kazan, Russia
Abstract:
We obtain the necessary conditions for a vector field on a tangent bundle to be an infinitesimal almost projective transformation of a general path space in the case when sets of autoparallel curves are the Yano–Okubo–Kagan natural lift of tensor fields of the base manifold.
Keywords:
infinitesimal almost projective transformation, general path space, tangent bundle, Yano–Okubo–Kagan natural lift.
Received: 26.01.2010
Citation:
A. Yu. Danshin, “On the structure of infinitesimal almost projective transformations in the tangent bundle of a general space of path”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9, 71–75; Russian Math. (Iz. VUZ), 54:9 (2010), 62–66
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https://www.mathnet.ru/eng/ivm7129 https://www.mathnet.ru/eng/ivm/y2010/i9/p71
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Abstract page: | 295 | Full-text PDF : | 45 | References: | 42 | First page: | 4 |
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