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 ...
Yasar, Erol, Yoldaş, Halil İbrahim
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DIFFEOMORPHISM OF AFFINE CONNECTED SPACES WHICH PRESERVED RIEMANNIAN AND RICCI CURVATURE TENSORS [PDF]
, 2017 Organ size regulation is dependent on the precise spatial and temporal regulation of cell proliferation and cell expansion. A number of transcription factors have been identified that play a key role in the determination of aerial lateral organ size, but
Gorou Horiguchi (5167928) +6 more
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Solitonic Aspect of Relativistic Magneto-Fluid Spacetime with Some Specific Vector Fields
Mathematics, 2023 The target of the current research article is to investigate the solitonic attributes of relativistic magneto-fluid spacetime (MFST) if its metrics are Ricci–Yamabe soliton (RY-soliton) and gradient Ricci–Yamabe soliton (GRY-soliton).
Mohd Danish Siddiqi +2 more
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Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors [PDF]
, 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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A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time [PDF]
, 2016 A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density
De, Uday Chand +2 more
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Cosmological perfect-fluids in f(R) gravity [PDF]
, 2018 We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
Capozziello, Salvatore +2 more
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On 3-Dimensional (ε,δ)-Trans-Sasakian Structure [PDF]
, 2013 The object of present paper is to study 3-dimensional $(\varepsilon,\delta)$-trans-Sasakian manifold admitting Ricci solitons and $K$-torse forming vector fields.
Maralabhavi, Y.B. +2 more
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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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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 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.
null Venkatesha, H. Aruna Kumara
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CERTAIN RESULTS OF RICCI-YAMABE SOLITONS ON $(LCS)_N$-MANIFOLDS [PDF]
, 2022 The goal of this paper is to characterize Lorentzian concircular structure manifolds (briefly, $(LCS)_n$-manifolds) admitting Ricci-Yamabe solitons.
Singh, Jay Prakash +1 more
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