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Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds

open access: yesMathematics, 2022
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj   +3 more sources

Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds

open access: yesMathematics, 2023
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are, in principle, equipped with a pair of mutually associated pseudo-Riemannian metrics. Each of these metrics is specialized as a Yamabe almost soliton with a
Mancho Manev
doaj   +3 more sources

Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
doaj   +4 more sources

Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

open access: yesMathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj   +3 more sources

Prolonged almost quazi-Sasakian structures

open access: yesДифференциальная 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

open access: yesAxioms, 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

open access: yesДифференциальная 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

On a property of W4 -manifolds

open access: yesДифференциальная 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

A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2023
In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Her­mitian manifold.
M. B. Banaru
doaj   +1 more source

ON A CERTAIN TRANSFORMATION IN ALMOST CONTACT METRIC MANIFOLDS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
In this work, we investigate a new  deformations of almost contact metric manifolds. New relations between classes of 3-dimensional almost contact metric have been discovered. Several concrete examples are discussed.
Beldjilali, Gherici, Akyol, Mehmet Akif
openaire   +1 more source

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