Results 11 to 20 of about 313 (89)
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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Yamabe Solitons with potential vector field as torse forming [PDF]
Cubo (Temuco), 2018 Summary: The Riemannian manifolds whose metric is a Yamabe soliton with torse forming potential vector field admitting a Riemannian connection, a semisymmetric metric connection and a projective semisymmetric connection are studied. An example is constructed to verify the theorem concerning Riemannian connection.
ChandraMandal, Yadab, Kumar Hui, Shyamal
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Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors [PDF]
General Relativity and Gravitation, 2017 Robertson-Walker and Generalized Robertson-Walker spacetimes may be characterized by the existence of a time-like unit torse-forming vector field, with other constrains.
Mantica, Carlo Alberto +1 more
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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field [PDF]
Afrika Matematika, 2019 In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field are discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field are determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
null Venkatesha, H. Aruna Kumara
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Journal of Geometry and Physics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mihai, Adela, Mihai, Ion
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On torse-forming vector fields and their applications in submanifold theory
Filomat, 2023 The present article utilises a property of torse-forming vector fields to deduce some criteria for invariant submanifolds of Riemannian manifolds to be totally geodesic. Certain features of submanifolds of Riemannian manifolds as ?-Ricci Bourguignon soliton have been developed.
Avijit Sarkar, Uday De, Suparna Halder
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ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS
Demonstratio Mathematica, 1985 The following theorem is proved: If in a Riemannian manifold (M,g) with dim \(M\geq 4\) the covariant derivative \(R_{ij,k}\) of the Ricci tensor is symmetric in all indices, if \(R_{ij}[\ell m]=0\), and if there exists a vector field \(v_ i\) such that \(v_{i,j}=Fg_{ij}+A_ jv_ i\) with a certain scalar field F and a vector field \(A_ j\) (i.e.
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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 A Constantinescu
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