Results 11 to 20 of about 220,418 (211)

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

Mathematics
The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact ...
Mancho Manev
doaj   +2 more sources

A new curvature-like tensor in an almost contact Riemannian manifold

Pracì Mìžnarodnogo Geometričnogo Centru, 2016
In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
doaj   +2 more sources

Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Mathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
doaj   +2 more sources

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds

Mathematics
Each of the studied manifolds has a pair of B-metrics, interrelated by an almost contact structure. The case where each of these metrics gives rise to an η-Ricci–Bourguignon almost soliton, where η is the contact form, is studied.
Mancho Manev
doaj   +2 more sources

Prolonged almost quazi-Sasakian structures

Дифференциальная геометрия многообразий фигур, 2021
The notion of an almost quasi-Sasakian manifold is introduced. A ma­nifold with an almost quasi-Sasakian structure is a generalization of a quasi-Sasakian manifold; the difference is that an almost quasi-Sasakian manifold is almost normal.
S.V. Galaev
doaj   +1 more source

Nearly Sasakian Manifolds of Constant Type

Axioms, 2022
The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
doaj   +1 more source

On the most important achievements of V. F. Kirichenko in Theory of differentiable manifolds

Дифференциальная геометрия многообразий фигур, 2023
We mark out the most important results obtained by outstanding Rus­sian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.
M. B. Banaru, G. A. Banaru
doaj   +1 more source

Bi-paracontact structures and Legendre foliations [PDF]

, 2002
We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-paracontact structure is defined on a contact manifold $(M,\eta)$, then under some natural assumptions of integrability, $M$ carries two transverse bi ...
Kofinas, G., Papantonopoulos, E., Zamarias, V.   +2 more
core   +9 more sources

A NEW TYPE LORENTZIAN ALMOST PARA CONTACT MANIFOLD

Journal of Universal Mathematics, 2022
The present study initially introduced a new type Lorentzian almost para contact manifold using the generalized symmetric metric connections of type $(\alpha,\beta)$.
O. Bahadır
semanticscholar   +1 more source

On a property of W4 -manifolds

Дифференциальная геометрия многообразий фигур, 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 Kirichenko.
M.B. Banaru
doaj   +1 more source