Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature

S. V. Galaev

Geodesic

Parcourir par

Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature

S. V. Galaev

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 42-52

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

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/}
}

TY  - JOUR
AU  - S. V. Galaev
TI  - Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 42
EP  - 52
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_8_a3/
LA  - ru
ID  - IVM_2014_8_a3
ER  -

%0 Journal Article
%A S. V. Galaev
%T Almost contact K\"ahlerian manifolds of constant holomorphic sectional curvature
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 42-52
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2014_8_a3/
%G ru
%F 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/