Results 21 to 30 of about 884 (174)
LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]
, 2023 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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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 Ricci solitons in LP-Sasakian manifolds
Bibechana, 2020 In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
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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
wiley +1 more source