Results 11 to 20 of about 287 (79)
A Note on LP-Sasakian Manifolds with Almost Quasi-Yamabe Solitons
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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Harmonic Maps and Torse-Forming Vector Fields
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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On trans-Sasakian $3$-manifolds as $\eta$-Einstein solitons
The present paper is to deliberate the class of $3$-dimensional trans-Sasakian manifolds which admits $\eta$-Einstein solitons. We have studied $\eta$-Einstein solitons on $3$-dimensional trans-Sasakian manifolds where the Ricci tensors are Codazzi type ...
D. Ganguly, S. Dey, A. Bhattacharyya
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General Relativistic Space-Time with η1-Einstein Metrics
The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field.
Yanlin Li +4 more
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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
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 torse-forming vector fields and their applications in submanifold theory
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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Reeb vector field of almost contact metric structure as affine motion
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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Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry
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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A note on Concircular Structure space-times [PDF]
In this note we show that Lorentzian Concircular Structure manifolds (LCS)_n coincide with Generalized Robertson-Walker space-times.Comment: 2 ...
Mantica, Carlo Alberto +1 more
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Geometry of almost contact metrics as a *-conformal Ricci-Yamabe solitons and related results [PDF]
The goal of this paper is to study certain types of metric such as *-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Dey, Santu, Karaca, Fatma, Roy, Soumendu
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