Results 1 to 10 of about 38,523 (104)
Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field [PDF]
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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Remarks on almost Riemann solitons with gradient or torse-forming vector field [PDF]
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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A Characterization of GRW Spacetimes [PDF]
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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On an Anti-Torqued Vector Field on Riemannian Manifolds [PDF]
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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Torse-forming vector fields on $ m $ -spheres
<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>
Amira Ishan, Sharief Deshmukh
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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field [PDF]
In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field ξare discribed and Ricci soliton in perfect fluid spacetime with torse-forming vector field ξare determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
H Aruna Kumara, V Venkatesha
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Yamabe Solitons with potential vector field as torse forming [PDF]
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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KÄHLERIAN TORSE-FORMING VECTOR FIELDS AND KÄHLERIAN SUBMERSIONS
Let \((M,J,g)\) be a Kähler manifold. A vector field \(\xi\) on \(M\) is a Kählerian torse-forming vector field if \(\nabla_E\xi\) is contained in span\(\{\xi,J\xi,E,JE\}\) for all vector fields \(E\) on \(M\), where \(\nabla\) is the Levi-Civita connection.
Seiichi Yamaguchi
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This study is dedicated to a separable F(R,T)-gravity related to the anisotropic matter to extract the equation of state for F(R,T)-gravity. In this research, we offer insight into calculating the density and pressure in the phantom barrier, stiff fluid,
Mohd Danish Siddiqi, Fatemah Mofarreh
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adela Mihai, Ion Mihai
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