Results 1 to 10 of about 89 (66)
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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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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Remarks on almost Riemann solitons with gradient or torse-forming vector field [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 We consider almost Riemann solitons $(V,λ)$ in a Riemannian manifold and underline their relation to almost Ricci solitons. When $V$ is of gradient type, using Bochner formula, we explicitly express the function $λ$ by means of the gradient vector field $V$ and illustrate the result with suitable examples.
Adara M Blaga, Blaga Adara M
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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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Torse-forming vector fields on $ m $ -spheres
AIMS Mathematics, 2022 <abstract><p>A characterization of an $ m $-sphere $ \mathbf{S}^{m}(a) $ is obtained using a non-trivial torse-forming vector field $ \zeta $ on an $ m $-dimensional Riemannian manifold.</p></abstract>
Sharief Deshmukh
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Yamabe Solitons with potential vector field as torse forming [PDF]
Cubo, 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.
Shyamal Kumar Hui
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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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Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry
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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