Results 1 to 10 of about 139,137 (128)
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
doaj +2 more sources
A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
doaj +2 more sources
Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet +2 more
doaj +2 more sources
Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2022 The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan +2 more
doaj +2 more sources
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
doaj +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Three-dimensional trans-Sasakian manifolds and solitons [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The authors set the goal to find the solution of the Eisenhart problem within the framework of three-dimensional trans-Sasakian manifolds.
Sudhakar Kumar Chaubey, Uday Chand De
doaj +1 more source
$m$-quasi-$*$-Einstein contact metric manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2022 The goal of this article is to introduce and study the characterstics of $m$-quasi-$*$-Einstein metric on contact Riemannian manifolds. First, we prove that if a Sasakian manifold admits a gradient $m$-quasi-$*$-Einstein metric, then $M$ is $\eta ...
H.A. Kumara, V. Venkatesha, D.M. Naik
doaj +1 more source