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Hypersurfaces of a Riemannian manifold with a Ricci-quarter symmetric metric connection
, 2023 Summary: In this paper we study hypersurfaces of a Riemannian manifold endowed with a Ricci-quarter symmetric metric connection. We prove that the induced connection is also a Ricci-quarter symmetric metric connection. We consider the total geodesicness, the total umbilicity and the minimality of a hypersurface of a Riemannian manifold endowed with the
Yılmaz, Hülya Bağdatlı
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Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection
Symmetry, 2023 The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM.
Mohammad Nazrul Islam Khan +2 more
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QUARTER SYMMETRIC NON-METRIC CONNECTION ON A (k, μ)−CONTACT METRIC MANIFOLD
South East Asian Journal of Mathematics and Mathematical Sciences, 2023The object of the present paper is to introduce a new type of quartersymmetric non-metric connection on a (k, μ)−contact metric manifold and studysome properties of quarter symmetric non-metric connection on a (k, μ)−contactmetric manifold. Further, we obtain some properties of nearly Ricci recurrent ona (k, μ)−contact metric manifold with respect to ...
Yadav, R. P. S., Prasad, B.
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Characterization of the Lorentzian para-Sasakian manifolds admitting a quarter-symmetric non-metric connection [PDF]
SUT Journal of Mathematics, 2019 We set the goal to study the properties of LP-Sasakian manifolds equipped with a quarter-symmetric non-metric connection. It is proved that the LP-Sasakian manifold endowed with a quarter-symmetric non-metric con- nection is partially Ricci semisymmetric
Uday Chand De
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Symmetry, 2023 The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) to its tangent bundle TM associated with a Riemannian connection DC and a quarter ...
Mohammad Nazrul Islam Khan +2 more
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Ricci solitons on α-Sasakian manifolds with quarter symmetric metric connection
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer ScienceThe main object of the present paper is to discuss about the quarter symmetric metric connection on α-Sasakian Manifold with respect to Ricci Soliton. In this paper, firstly, we discuss the quarter symmetric metric connection on α-Sasakian manifold. Secondly, we elaborate the results of quarter symmetric metric connection on α-Sasakian manifold which ...
Siddiqui, Aliya Naaz +2 more
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On quarter-symmetric metric connection
1978The quarter-symmetric connections on manifolds with affine connection have been defined and studied by \textit{S. Golab} [Tensor, New. Ser. 29, 249-254 (1975; Zbl 0308.53010)]. The most general form of these connections has been determined by \textit{K. Yano} and \textit{T. Imai} [ibid. 38, 13-18 (1982; Zbl 0504.53014)].
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QUARTER-SYMMETRIC METRIC CONNECTION ON TANGENT BUNDLES
Far East Journal of Mathematical Sciences (FJMS), 2017Mohammad Nazrul Islam Khan, Jae-Bok Jun
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On pseudo concircular symmetric manifold admitting a type of quarter symmetric metric connection
2012Let \((M_n,g,n>2)\) be a non-flat Riemannian manifold, \(\Omega\) the concircular curvature tensor and \(A\) a non-zero 1-form such that \(g(X,\rho) =A(X)\); \(X,\rho\) are vector fields. A pseudo concircular symmetric manifold is defined under some conditions for \(\Omega\) and \(A\). Let \(r\) be the scalar curvature.
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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2023Mohammad Nazrul Islam Khan +2 more
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