Results 51 to 60 of about 1,519 (136)
A remark on trans-Sasakian 3-manifolds [PDF]
Summary: Let \(M\) be a trans-Sasakian 3-manifold of type \((\alpha, \beta)\). In this paper, we give a negative answer to the question proposed by \textit{S. Deshmukh} [Mediterr. J. Math. 13, No. 5, 2951--2958 (2016; Zbl 1359.53022)], namely we prove that the differential equation \(\nabla \beta = \eta(\beta)\eta\) on \(M\) does not necessarily imply ...
Wang, Yaning, Wang, Wenjie
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Lightlike Hypersurfaces in Indefinite Trans-Sasakian Manifolds [PDF]
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Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
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Some Classes of Pseudosymmetric Contact Metric 3‐Manifolds
We study (a) the class of 3‐dimensional pseudosymmetric contact metric manifolds with harmonic curvature and Trl constant along the direction of ξ and (b) the class of (κ, μ, ν)‐contact metric pseudosymmetric 3‐manifolds of type constant in the direction of ξ.
Evaggelia Moutafi +2 more
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On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms
The object of the present paper is to characterize generalized Sasakian‐space‐forms satisfying certain curvature conditions on conharmonic curvature tensor. In this paper we study conharmonically semisymmetric, conharmonically flat, ξ‐conharmonically flat, and conharmonically recurrent generalized Sasakian‐space‐forms.
U. C. De +4 more
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ON THREE-DIMENSIONAL TRANS-SASAKIAN MANIFOLDS ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION [PDF]
In the present paper, we study three-dimensional trans-Sasakian manifolds admitting the Schouten-van Kampen connection. Also, we have proved some results on $\phi$-projectively flat, $\xi-$projectively flat and $\xi-$concircularly flat three ...
Mondal, Ashis
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We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results.
Dae Ho Jin, Jae Won Lee
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In this paper we study the geometry of trans-Sasakian manifold when it is projective Ricci-semi-symmetric, pseudo-projectively flat and pseudo-projectively semi-symmetric.
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LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]
In this paper, we introduce an indefinite LP-Sasakian statistical manifold and study lightlike submanifold of an indefinite LP-Sasakian statistical manifold.
Ahmad, Mobin, Alam, Mahtab
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Generalized -Einstein 3-dimensional trans-Sasakian manifold
. In the present note we have introduced a new concept called generalized -Einstein manifold in a 3-dimensional trans-Sasakian manifold and have given some preliminary ideas about the same.
Sasakian Manifold +2 more
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