Results 31 to 40 of about 129 (84)
Harmonic Maps and Torse-Forming Vector Fields
International Electronic Journal of Geometry, 2020 In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
Ahmed Mohammed Cherif, Mustapha Djaa
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Geometry of almost contact metrics as a ∗-conformal Ricci–Yamabe solitons and related results [PDF]
, 2023 The goal of this paper is to study certain types of metric such as a ∗-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Fatma Karaca +5 more
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Investigation of Pseudo‐Ricci Symmetric Spacetimes in Gray’s Subspaces
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the present paper, we focused our attention to study pseudo‐Ricci symmetric spacetimes in Gray’s decomposition subspaces. It is proved that (PRS)n spacetimes are Ricci flat in trivial, A, and B subspaces, whereas perfect fluid in subspaces I, I ⊕ A, and I ⊕ B, and have zero scalar curvature in subspace A ⊕ B.
Sameh Shenawy +5 more
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Reeb vector field of almost contact metric structure as affine motion
Дифференциальная геометрия многообразий фигур, 2022 Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
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Conformal Yamabe soliton and * -Yamabe soliton with torse forming potential vector field
, 2021 The goal of this paper is to study conformal Yamabe soliton and $*$-Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on ...
Roy, Soumendu +2 more
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Some results on almost eta-Ricci-Bourguignon solitons [PDF]
, 2021 We determine a formula to compute the defining function of a gradient almost Ricci-Bourguignon soliton by means of the potential vector field, providing in this sense two examples. We also give a rigidity result in this case.
Blaga, Adara M., Tastan, Hakan M.
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SOME NOTES ON KENMOTSU MANIFOLD [PDF]
, 2021 In the present paper, we deal with a Kenmotsu manifold $M$. Firstly, we study the notion of torse-forming vector field on such a manifold. Then, we investigate some curvature conditions such as $Q.\mathcal{M}=0$ and $C.Q=0$ on such a manifold and obtain ...
Yoldaş, Halil İbrahim, Yasar, Erol
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton [PDF]
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
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$\eta $-Ricci Solitons on $\eta $-Einstein $(LCS)_n$-Manifolds [PDF]
, 2016 summary:The object of the present paper is to study $\eta $-Ricci solitons on $\eta $-Einstein $(LCS)_n$-manifolds. It is shown that if $\xi $ is a recurrent torse forming $\eta $-Ricci soliton on an $\eta $-Einstein $(LCS)_n$-manifold then $\xi $ is (i)
Hui, Shyamal Kumar +1 more
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Ricci-Bourguignon soliton on three dimensional para-Sasakian manifold [PDF]
Journal of HyperstructuresIn the present paper we study Ricci-Bourguignon solitons on three dimensional para-Sasakian manifolds with potential vector field as a special vector field. We proved the conditions for such manifold to be isometric to hyperbolic space.
Yashaswini R, Nagaraja H.G.
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