Results 1 to 10 of about 8,658,639 (88)
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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On an Anti-Torqued Vector Field on Riemannian Manifolds
Mathematics, 2021 A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh +2 more
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A Characterization of GRW Spacetimes
Mathematics, 2021 We show presence a special torse-forming vector field (a particular form of torse-forming of a vector field) on generalized Robertson–Walker (GRW) spacetime, which is an eigenvector of the de Rham–Laplace operator.
Ibrahim Al-Dayel +2 more
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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
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
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
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
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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Some properties of biconcircular gradient vector fields; pp. 162–169 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary ...
Adela Mihai
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Mathematics, 2021 We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
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