Ricci–Bourguignon Almost Solitons with Vertical Torse-Forming Potential on Almost Contact Complex Riemannian Manifolds [PDF]
MathematicsAlmost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with Ricci–Bourguignon-like almost solitons.
Mancho Manev
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A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons [PDF]
Journal of Mathematics, 2021 We categorize almost quasi-Yamabe solitons on LP-Sasakian manifolds and their CR-submanifolds whose potential vector field is torse-forming, admitting a generalized symmetric metric connection of type α,β.
Sunil Kumar Yadav +2 more
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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric [PDF]
Advances in Mathematical Physics, 2021 In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi +3 more
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On a class of even-dimensional manifolds structured by an affine connection [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We deal with a 2m-dimensional Riemannian manifold (M,g) structured by an affine connection and a vector field 𝒯, defining a 𝒯-parallel connection. It is proved that 𝒯 is both a torse forming vector field and an exterior concurrent vector
I. Mihai, A. Oiagă, R. Rosca
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On Riemannian manifolds endowed with a locally conformal cosymplectic structure [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We deal with a locally conformal cosymplectic manifold M(φ,Ω,ξ,η,g) admitting a conformal contact quasi-torse-forming vector field T. The presymplectic 2-form Ω is a locally conformal cosymplectic 2-form.
Ion Mihai +2 more
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Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry [PDF]
Mathematics, 2021 We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu +2 more
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On the Potential Vector Fields of Soliton-Type Equations [PDF]
AxiomsWe highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
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Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields [PDF]
Mathematics, 2023 The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi +2 more
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MYLLER CONFIGURATIONS IN FINSLER SPACES. APPLICATIONS TO THE STUDY OF SUBSPACES AND OF TORSE FORMING VECTOR FIELDS [PDF]
Journal of the Korean Mathematical Society, 2008 In this paper we define a Myller configuration in a Finsler space and use some special configurations to obtain results about Finsler subspaces. Let F n =(M, F ) be a Finsler space, with M a real, differentiable manifold of dimension n. Using the pull back bundle (π∗TM, π, TM) of the tangent bundle (TM, π, M) by the mapping π = π/TM and the Cartan ...
Oana Constantinescu
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*-Ricci-Yamabe soliton on Kenmotsu manifold with torse forming potential vector field
FilomatThe goal of the present paper is to deliberate *-Ricci-Yamabe soliton, whose potential vector field is torse-forming on the Kenmotsu manifold. Here, we have shown the nature of the soliton and found the scalar curvature when the manifold admitting *-Ricci-Yamabe soliton on the Kenmotsu manifold.
Santu Dey, Ali H Alkhaldi, Akram Ali
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