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Trudy Geometricheskogo Seminara, 1997, Volume 23, Pages 125–138
(Mi kutgs12)
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On the properties of the Riemannian curvature tensor of the linear extension of a quasi-Sasakian manifold
E. V. Rodina Moscow State Pedagogical University
Abstract:
We study connections between structure tensors of almost contact metric manifold $M$ and the canonical almost Hermitian structure on its linear extension $M\times\mathbb R$. We obtain a complete system of structure equations of the linear extension of quasisasakian manifold. We study connection between curvature identities of the linear extension of quasisasakian manifold and properties of curvature of linear extension of quasisasakian manifold in the two-dimensional direction determined by the bivector $\xi\times X$, where $\xi$ is the structure tensor of quasisasakian structure.
Citation:
E. V. Rodina, “On the properties of the Riemannian curvature tensor of the linear extension of a quasi-Sasakian manifold”, Tr. Geom. Semin., 23, Kazan Mathematical Society, Kazan, 1997, 125–138
Linking options:
https://www.mathnet.ru/eng/kutgs12 https://www.mathnet.ru/eng/kutgs/v23/p125
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Abstract page: | 178 | Full-text PDF : | 103 |
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