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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 7, Pages 39–44
(Mi ivm1650)
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This article is cited in 2 scientific papers (total in 2 papers)
The manifold of non-degenerate affinor fields
E. M. Romanova Kazan State Technological University
Abstract:
We consider the quotient set of the set of
nondegenerate affinor fields with respect to the action of the
group of nowhere vanishing functions. This set is endowed with a
structure of infinite-dimensional Lie group. On this Lie group, we
construct an object of linear connection with respect to which all
left-invariant vector fields are covariantly constant (the Cartan
connection).
Keywords:
Lie group, Lie algebra, linear connection, Cartan connection.
Received: 05.06.2006
Citation:
E. M. Romanova, “The manifold of non-degenerate affinor fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 39–44; Russian Math. (Iz. VUZ), 52:7 (2008), 33–37
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https://www.mathnet.ru/eng/ivm1650 https://www.mathnet.ru/eng/ivm/y2008/i7/p39
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Abstract page: | 332 | Full-text PDF : | 58 | References: | 56 | First page: | 1 |
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