Zobrazeno 1 - 10
of 143
pro vyhledávání: '"almost contact metric structure"'
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 55, Iss 1, Pp 5-13 (2024)
From 1950s, it is known that an almost contact metric structure is induced on an arbitrary oriented hypersurface in an almost Hermitian manifold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contac
Externí odkaz:
https://doaj.org/article/a12f41cd3ce84686925c7fa9b7a4bce1
Autor:
M. B. Banaru
Publikováno v:
Дифференциальная геометрия многообразий фигур, Vol 55, Iss 1, Pp 14-19 (2024)
Almost contact metric structures on odd-dimensional manifolds are considered. The first group of the Cartan structural equations of an arbitrary almost contact metric structure written in an A-frame (i. e., in a frame adapted to this almost conta
Externí odkaz:
https://doaj.org/article/ccafda394efd4e16816e5c1d56ebd136
Autor:
Quanxiang Pan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27200-27209 (2023)
In this paper, we prove that an almost contact metric structure of a real hypersurface in a complex space form is quasi-contact if and only if it is contact. We also classify real hypersurfaces whose associated almost contact metric structures are ne
Externí odkaz:
https://doaj.org/article/f58e35572aeb4bbdbcd8dbe2cc6243f6
Autor:
L.A. Ignatochkina
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 53, Pp 59-67 (2022)
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study. We assume that its Reeb vector field is a
Externí odkaz:
https://doaj.org/article/608930dbaacf4c0fa0c01d69d2247a5e
Autor:
G.A. Banaru
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 53, Pp 5-12 (2022)
Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered. We select the case when the almost Hermitian structures on such six-dimen
Externí odkaz:
https://doaj.org/article/3d67d79bed11436b9143d5d308878429
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
G.A. Banaru
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 52, Pp 17-22 (2021)
It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface
Externí odkaz:
https://doaj.org/article/3073474e20ad494e9d53d5719a18e2f7
Autor:
G. A. Banaru
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 51, Pp 7-13 (2020)
Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered. As it is known, the class W1 W2 W4 contains all Kählerian,
Externí odkaz:
https://doaj.org/article/4ac2e11d3eb04733910afac5549099cf
Autor:
M.B. Banaru
Publikováno v:
Дифференциальная геометрия многообразий фигур, Iss 51, Pp 14-21 (2020)
The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kiri
Externí odkaz:
https://doaj.org/article/b79b00a3bea74b1f902757fca8c0b34f