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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 8, Pages 42–52
(Mi ivm8917)
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This article is cited in 9 scientific papers (total in 9 papers)
Almost contact Kählerian manifolds of constant holomorphic sectional curvature
S. V. Galaev Chair of Geometry, Saratov State University, 83 Astrakhanskaya str., Saratov, 410012 Russia
Abstract:
The notion of an almost contact Kählerian structure is introduced. The holomorphic sectional curvature of a distribution of an almost contact Kählerian structure with respect to an interior metric connection is defined. The relation between the $\varphi$-sectional curvature of an almost contact Kählerian manifold and the holomorphic sectional curvature of a distribution of an almost contact Kählerian structure is found.
Keywords:
interior connection, extended connection, almost contact Kählerian space, $\varphi$-sectional curvature of an almost contact Kählerian space, holomorphic sectional curvature of a distribution of an almost contact Kählerian structure.
Received: 23.01.2013
Citation:
S. V. Galaev, “Almost contact Kählerian manifolds of constant holomorphic sectional curvature”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 42–52; Russian Math. (Iz. VUZ), 58:8 (2014), 35–42
Linking options:
https://www.mathnet.ru/eng/ivm8917 https://www.mathnet.ru/eng/ivm/y2014/i8/p42
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Abstract page: | 260 | Full-text PDF : | 63 | References: | 45 | First page: | 15 |
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