Results 41 to 50 of about 89 (66)
Torse-forming vector field with certain deformations
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Gherici, Beldjilali +2 more
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Generalized Almost Schouten Solitons in LP-Sasakian Geometry and Relativistic Spacetimes
The objective of this work is to characterize certain geometric aspects of LP-Sasakian (LPS) manifolds admitting a generalized almost Schouten soliton (GASS) and to prove that a such manifold with GASS is of constant scalar curvature.
Sunil Kumar Yadav +2 more
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Curves in Riemannian manifolds making prescribed angles with torse-forming vector fields
In this paper, we introduce the notion of a prescribed angle curve in a Riemannian manifold associated with a pair $(\mathcal{V},θ)$, where $\mathcal{V}$ is a unit vector field along the curve and $θ$ denotes the angle between $\mathcal{V}$ and the principal normal vector of the curve. When $\mathcal{V}$ is a torse-forming vector field, we establish an
Muhittin Evren Aydın +2 more
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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
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Impact of Solitonic Structures on Kählerian Norden Space-Times
This manuscript investigates conformal η-Ricci–Yamabe solitons of type (κ,l) on Kählerian Norden space-time admitting a Kählerian Norden torse-forming vector field.
Sahar H. Nazra +3 more
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In this paper, we examine torse-forming vector fields to characterize extrinsic spheres (that is, totally umbilical hypersurfaces with nonzero constant mean curvatures) in Riemannian and Lorentzian manifolds. First, we analyze the properties of these vector fields on Riemannian manifolds.
Norah Alshehri, Mohammed Guediri
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On N(k)-Contact Metric Manifolds
The object of the present paper is to study a type of contact metric manifolds, called contact metric manifolds admitting a non-null concircular and torse forming vector field.
A.A Shaikh, C.S Bagewadi
doaj
Prescribed Angle Surfaces Associated with Torse-Forming Vector Fields in Riemannian Manifolds
In this paper, we introduce the notion of a prescribed angle hypersurface in a Riemannian manifold associated with a pair $(\mathcal{V},θ)$, where $\mathcal{V}$ is a unit vector field along the hypersurface and $θ$ denotes the angle between $\mathcal{V}$ and the unit normal vector field of the hypersurface. We study such hypersurfaces in case $\mathcal{
Aydın, Muhittin Evren +2 more
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Characterization of warped product manifolds through the W 2 -curvature tensor with applications to relativity. [PDF]
Syied AA, De UC, Turki NB, Vîlcu GE.
europepmc +1 more source
Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons. [PDF]
De K, Khan MNI, De UC.
europepmc +1 more source

