Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 42-52
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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.
@article{IVM_2014_8_a3,
author = {S. V. Galaev},
title = {Almost contact {K\"ahlerian} manifolds of constant holomorphic sectional curvature},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {42--52},
publisher = {mathdoc},
number = {8},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2014_8_a3/}
}
S. V. Galaev. Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 42-52. http://geodesic.mathdoc.fr/item/IVM_2014_8_a3/