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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 4, Pages 16–21
(Mi ivm1247)
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This article is cited in 31 scientific papers (total in 31 papers)
Infinitesimal $F$-planar transformations
I. Hinterleitnera, J. Mikeshb, Ya. Stranskab a Inst. of Mathematics, Brno, Czech Republic
b Dept. of Algebra and Geometry, Palacky University, Olomouc, Czech Republic
Abstract:
The theory of $F$-planar maps of Riemannian spaces and affinely connected spaces developed by J. Mikeš and N. S. Sinyukov [1–6] naturally extends the theory of geodesic and holomorphic projective maps. In the present paper we find basic equations of infinitesimal F-planar maps and study these equations. The $F$-planar maps are maps between spaces endowed with affinor structures. The geometry of Riemannian spaces and affinely connected spaces endowed by affinor structures was investigated by A. P. Shirokov (see, e.g., [7–14]) who also studied maps between spaces of this type ([13, 14]).
Keywords:
$F$-planar map, affinely connected space, projective transformation, infinitesimal $F$-planar map.
Received: 09.04.2007
Citation:
I. Hinterleitner, J. Mikesh, Ya. Stranska, “Infinitesimal $F$-planar transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 4, 16–21; Russian Math. (Iz. VUZ), 52:4 (2008), 13–18
Linking options:
https://www.mathnet.ru/eng/ivm1247 https://www.mathnet.ru/eng/ivm/y2008/i4/p16
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Abstract page: | 429 | Full-text PDF : | 73 | References: | 60 | First page: | 3 |
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