Results 31 to 40 of about 1,722 (148)
Nullity Condition on Trans-Sasakian 3-Manifolds
Proceedings of the Bulgarian Academy of Sciences, 2022 In this paper, we are concerned with the κ-nullity condition on trans-Sasakian manifolds of dimension three. Such manifolds are classified under an additional assumption that the scalar curvature is invariant along the Reeb flow or a topology restriction.
Wenjie Wang
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On Lorentzian Trans-Sasakian manifolds
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2013 The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric. Several interesting results areobtained on the manifold. Also conformally *at Lorentzian Trans-Sasakianmanifolds have been studied. Next, in three- dimensional Lorentzian TransSasakian manifolds, explicit formulae for Ricci operator, Ricci ...
DE U.C. DE
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Generalized Ricci Solitons on Trans-Sasakian Manifolds [PDF]
, 2018 Summary: The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.
Mohd Danish Siddiqi
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A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds [PDF]
Journal of Hyperstructures, 2023 Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds.
Shamsur Rahman, Amit Kumar Rai
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Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]
Mathematica Bohemica, 2022 The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
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Ricci Solitons in (ϵ)-Trans-Sasakian Manifolds [PDF]
Journal of the Tensor Society, 2007 We study Ricci solitons in (ϵ)-trans-Sasakian manifolds. It is shown that a symmetric parallel second order covariant tensor in a (ϵ)-trans-Sasakian manifold is a constant multiple of the metric tensor. Using this it is shown that if LV g + 2S is parallel where V is a given vector field, then (g, V ) is Ricci soliton. Further, by virtue of this result,
Gurupadavva Ingalahalli, C S Bagewadi
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On δ- Lorentzian trans Sasakian manifold with semi-symmetric metric connection
TWMS Journal of Applied and Engineering Mathematics, 2020 This work has partially been supported by the Maulana Azad National Urdu University, under (No.MANUU/Acad/F.404/2016-17/217).
Mohd Danish Siddiqi
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Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold
Karpatsʹkì Matematičnì Publìkacìï, 2022 The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is $\eta$-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting $\eta ...
S. Roy, S. Dey, A. Bhattacharyya
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ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2002 A Riemannian manifold \((M,g)\) is called generalized Ricci-recurrent if there exist \(1\)-forms \(A\) and \(B\) such that its Ricci tensor satisfies \(\nabla_X \text{Ric}(Y,Z)= A(X) \text{Ric}(Y,Z)+B(X)g(Y,Z)\). The authors study generalized Ricci-recurrent manifolds which are in addition trans-Sasakian, and give a local classification of these in ...
Jeongsik Kim +2 more
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