Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds [PDF]
Mathematics, 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
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Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds [PDF]
Mathematics, 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
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Optimal Inequalities on (α,β)-Type Almost Contact Manifold with the Schouten–Van Kampen Connection
Axioms, 2023 In the current research, we develop optimal inequalities for submanifolds in trans-Sasakian manifolds or (α,β)-type almost contact manifolds endowed with the Schouten–Van Kampen connection (SVK-connection), including generalized normalized δ-Casorati ...
Mohd Danish Siddiqi, Ali H. Hakami
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Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field [PDF]
Axioms, 2023 A Yamabe soliton is considered on an almost-contact complex Riemannian manifold (also known as an 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 ...
Mancho Manev
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Reeb vector field of almost contact metric structure as affine motion
Дифференциальная геометрия многообразий фигур, 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.
L.A. Ignatochkina
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Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds [PDF]
MathematicsAlmost 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
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From Dual Connections to Almost Contact Structures [PDF]
Mathematics, 2022 A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined.
Emmanuel Gnandi, Stéphane Puechmorel
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On Lorentezian almost Para-contact Manifold
Journal of Mountain Research, 2021 In the present paper, we focus on Lorentzian almost para-contact manifold and explain their relationship. In section 1, we have introduced the historical background of a contact manifold. Next, in section 2, we have studied the basic formulae of the Lorentzian metric manifold.
Vinod Chandra, Shankar Lal
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A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds
Дифференциальная геометрия многообразий фигурFrom 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 contact ...
A. Abu-Saleem +2 more
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Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – 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
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