Induced mappings of the Riemannian spaces of the second-order approximation(in Russian) |
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Author |
pokas@onu.edu.ua
Odessa I. I. Mechnikov National University
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Abstract |
For the Riemannian spaces ¯Vn and Vn assuming non-trivial geodesic mapping γ, we have constructed the spaces of the second-order approximation ˜¯V2n and ˜V2n. We have researched the mapping ˜γ, which is induced by the mapping γ. Also we have obtained the deformation tensor of mapping ˜γ in an explicit form.
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Keywords |
Riemannian space; geodesic mapping; deformation tensor
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Reference |
1. Sinyukov N.S., Geodesic mappings of Riemannian spaces. – Moscow, Nauka, 1979. – 225 p. (in Russian)
2. Eisenhart L.P., Riemannian geometry. – Moscow, IL., 1948. – 216 p. (in Russian) 3. Pokas S.M. Groups Li of motions in Riemannian space of second-order approximation// Izvestiya Penz. gos. ped. univ., physico-mathematical sciences. – 2011. – №26. – P. 173–183. (in Russian) 4. Pokas S.M., Tsekhmeystruk L.G. The second-order approximation for Riemannian space of non-nil constant curvature// Proceedings of International Conference “Geometry in Odessa-2012”. – 2012. – P. 60. (in Russian) |
Pages |
220-224
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Volume |
41
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Issue |
2
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Year |
2014
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Journal |
Matematychni Studii
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