Results 11 to 20 of about 249 (140)
Quarter-symmetric metric connection in a P-Sasakian manifold
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
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On complex Sasakian manifolds [PDF]
Afrika Matematika, 2020 In this article we study a class of normalθcomplexθcontactθmetricθmanifold which is called a complex Sasakian manifold. This kind of manifold has a globally defined complex contact form and normal complex contact structure. We give the definition of a complex Sasakian manifold by consider the real case and we present general properties.
Aysel Turgut Vanlı +2 more
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Surveys in Differential Geometry, 2001 59 pages, to appear in Essays on Einstein Manifolds, M. Wang and C.
Galicki, K., Boyer, C.
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Hypersurfaces of a Sasakian manifold - revisited [PDF]
Journal of Inequalities and Applications, 2021 AbstractWe study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of a Sasakian manifold determines a vector field v on a hypersurface that is the component of the Reeb vector field ξ tangential to the hypersurface, and it also gives rise to a smooth function σ on the hypersurface, namely the projection of ξ on the unit ...
Sharief Deshmukh +3 more
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3-Quasi-Sasakian manifolds [PDF]
Annals of Global Analysis and Geometry, 2007 In the present paper we carry on a systematic study of 3-quasi-Sasakian manifolds. In particular we prove that the three Reeb vector fields generate an involutive distribution determining a canonical totally geodesic and Riemannian foliation. Locally, the leaves of this foliation turn out to be Lie groups: either the orthogonal group or an abelian one.
CAPPELLETTI MONTANO, BENIAMINO +2 more
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On contact conformal curvature tensor in trans-Sasakian manifolds
Bibechana, 2014 The purpose of this paper is to study some results on contact conformal curvature tensor in trans-Sasakian manifolds. Contact conformally flat trans-Sasakian manifold, ζ-contact conformally flat trans-Sasakian manifold and curvature conditions C0(ζ.X).S
Riddhi Jung Shah
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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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Universal Journal of Mathematics and Applications, 2023 The aim of the present paper is to introduce a Sasakian manifold immersed with a quartersymmetric semimetric connection to a tangent bundle. Some basic results are given on a Riemannian connection and a QSSC to the tangent bundle on a Sasakian manifold ...
Lovejoy Swapan Kumar Das +1 more
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Metallic structures on tangent bundles of Lorentzian para-Sasakian manifolds [PDF]
Journal of Mahani Mathematical Research, 2023 Let M be a Lorentzian para-Sasakian manifold with a Lorentzian para-Sasakian structure (φ,η,ξ,g). In this paper, we introduce some metallic structures on tangent bundle of the manifold M using vertical, horizontal and complete lifts of the Lorentzian ...
Murat Altunbaş, Çiğdem Şengül
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper focuses on the investigation of semi‐invariant warped product submanifolds of Sasakian space forms endowed with a semisymmetric metric connection. We delve into the study of these submanifolds and derive several fundamental results. Additionally, we explore the practical implications of our findings by applying them to the homology analysis ...
Ibrahim Al-Dayel +3 more
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