Semi-symmetric Metric Connection on a LP-Sasakian Manifold
Euro Asia International Journals
Sign up for access to the world's latest research
checkGet notified about relevant papers
checkSave papers to use in your research
checkJoin the discussion with peers
checkTrack your impact
Abstract
In this paper we have introduced a type of semi-symmetric metric connection on a LP-Sasakian manifold and obtained the expression for curvature tensor. We have also studied conformal curvature tensor, conharmonic curvature tensor, concircular curvature tensor and projective curvature tensor for this connection.
Related papers
On A Semi-Symmetric On Non-Metric Connection In An Lp-Sasakian Manifold
International electronic journal of geometry, 2010
In this paper we study some properties of curvature tensor, projective curvature tensor, v-Weyl projective tensor, concircular curvature tensor, conformal curvature tensor, quasi-conformal curvature tensor with respect to semi-symmetric non-metric connection in a Lorentzian para-Sasakian (briefly LP-Sasakian) manifold. It is shown that an LP-Sasakian manifold (M n , g)(n > 3) with the semi-symmetric non-metric connection is an η-Einstein manifold.
On a Semi-Symmetric Metric Connection In a Lorentzian Para-Sasakian Manifold
Differential Geometry-Dynamical …, 2010
On LP-Sasakian manifold admitting a generalized symmetric metric connection
Malaya Journal of Matematik
In this paper we study certain curvature properties of Lorentzian Para-Sasakian manifold (shortly, LPSM) with respect to the generalized symmetric metric connection. Here we discuss ξ-concircularly, ξ-conformally and ξprojectively flat LPSM with respect to the generalized symmetric metric connection and obtain various interesting results. Moreover, we study LPSM withZ(ξ ,V).S = 0, whereZ andS are the concircular curvature tensor and Ricci tensor respectively with respect to the generalized symmetric metric connection.
Some Curvature Properties of LP-Sasakian Manifold with Respect to Quarter Symmetric Non Metric Connection
Journal of Ultra Scientist of Physical Sciences Section A, 2017
The object of the present paper is to study of various curvature tensor on an Lorentzian para-Sasakian manifold with respect to quarter-symmetric non-metri connection.
Conservative Concircular Curvature Tensor With Respect To Semi-Symmetric Metric Connection on K-Contact and Trans-Sasakian Manifolds
We obtain results on the vanishing of divergence of Concircular curvature tensor with respect to semi-symmetric metric connection on K-contact and trans-Sasakian manifolds.
ON LORENTZIAN α–SASAKIAN MANIFOLDS ADMITTING A TYPE OF SEMI-SYMMETRIC METRIC CONNECTION
The object of the present paper is to study a Lorentzian α-Sasakian manifold admitting a semi-symmetric metric connection.
Semi-symmetric metric connection on cosymplectic manifolds
International Journal of Maps in Mathematics, 2020
The idea of a semi symmetric connection on a smooth manifolds was first introduce by Friedmann and Schouten in 1924, [3]. The Sasakian manifolds were introduced in the 1960's by S. Sasaki as an odd-dimensional analogous of Kaehler manifolds. Kaehler manifolds area classical object of differential geometry and well studied in literature. Compared to that Sasakian manifolds have only recently become subject of deeper research in mathematics and physics. Semi-symmetric connection studied by many authors from 1924 so far. In 1993, Benjancu and Duggal [2] introduced the concept of (")-Sasakian manifolds. Afterwards, in 2014, Ram Nawal Singh, Shravan Kumar Pandey, Giteshwari Pandey and Kiran Tiwari examined semi-symmetric connection in an (")-Kenmotsu manifold. In the present paper, in the first section, Sasakian manifold are examined, then in next section cosymplectic manifolds are studied using semi symmetric metric connection.
LS-SASAKIAN MANIFOLDS WITH SEMI-SYMMETRIC METRIC CONNECTION
The purpose of this paper is to study Lorentzian special Sasakian manifolds and generalized Lorentzian Co-symplectic manifolds [1] with semi-symmetric metric connection [3].
Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics
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. A relationship between the Riemannian connection and the quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle was established. Some theorems on the curvature tensor and the projective curvature tensor of a Sasakian manifold with respect to the quarter-symmetric metric connection to its tangent bundle were proved. Finally, locally ϕ-symmetric Sasakian manifolds with respect to the quarter-symmetric metric connection to its tangent bundle were studied.
Related topics
Related papers
CERTAIN CURVATURE PROPERTIES OF LP-SASAKIAN MANIFOLD WITH RESPECT TO QUARTER SYMMETRIC NON METRIC CONNECTION
The object of the present paper is to study of various curvature tensor on an Lorentzian para-Sasakian manifold with respect to quarter-symmetric non-metri connection.
Conformally and quasi-conformally conservative curvature tensors on a trans-Sasakian manifold with respect to semi-symmetric metric connections
2008
In this paper we study the conservative conformal curvature tensor and the conservative quasi-conformal curvature tensor on a trans- Sasakian manifold with respect to a semi-symmetric metric connection. It is shown that a trans-Sasakian manifold with conservative conformal cur- vature tensor is an Einstein manifold, and with quasi-conformal curvature tensor is an ·-Einstein manifold.
SEMI-SYMMETRIC NON-METRIC CONNECTION IN A P-SASAKIAN MANIFOLD
The present paper deals with the study of a Para-Sasakian manifold admitting a semi-symmetric non-metric connection whose con-harmonic curvature tensor satisfies certain curvature conditions.
Curvature Tensors on Semi-riemannian and Generalized Sasakian Space Forms Admitting Semi-symmetric Metric Connection
2018
The study deals with curvature tensors on Semi-Riemannian and Generalized Sasakian space forms admitting semi-symmetric metric connection. More specifically, the study shall be to investigate the geometry of Semi-Riemannian and generalized Sasakian space forms, when they are 8 W flat, 8 W symmetric, 8 W semisymmetric and 8 W Recurrent and compared to results of projectively semi-symmetric, Weyl semi-symmetric and concircularly semi-symmetric on these spaces. Further, the conditions that admit a second order parallel symmetric tensor on functions of such spaces, shall be studied.
Some notes on $LP$-Sasakian Manifolds with Generalized Symmetric Metric Connection
Cornell University - arXiv, 2018
The present study initially identify the generalized symmetric connections of type (α, β), which can be regarded as more generalized forms of quarter and semi-symmetric connections. The quarter and semi-symmetric connections are obtained respectively when (α, β) = (1, 0) and (α, β) = (0, 1). Taking that into account, a new generalized symmetric metric connection is attained on Lorentzian para-Sasakian manifolds. In compliance with this connection, some results are obtained through calculation of tensors belonging to Lorentzian para-Sasakian manifold involving curvature tensor, Ricci tensor and Ricci semi-symmetric manifolds. Finally, we consider CR-submanifolds admitting a generalized symmetric metric connection and prove many interesting results.
Conservative Projective Curvature Tensor On Trans-sasakian Manifolds With Respect To Semi-symmetric Metric Connection
siba-sinmemis.unile.it
We obtain results on the vanishing of divergence of Riemannian and Projective curvature tensors with respect to semi-symmetric metric connection on a trans-Sasakian manifold under the condition φ(gradα) = (n − 2)gradβ.
Some Curvature Properties in LP-Sasakian Manifolds with Respect to Generalized Tanaka Webster Okumura Connection
GANIT: Journal of Bangladesh Mathematical Society, 2016
The object of the present paper is to study LP-Sasakian manifolds with respect to generalized Tanaka Webster Okumura connection. We have studied locally ?-symmetric as well as locally projectively ?-symmetric LP-Sasakian manifolds with respect to a generalized Tanaka Webster Okumura connection. Locally ?-recurrent LP-Sasakian manifolds have also been studied with respect to generalized Tanaka Webster Okumura connection.GANIT J. Bangladesh Math. Soc.Vol. 34 (2014) 47-55
ON PARA-SASAKIAN MANIFOLDS ADMITTING SEMI-SYMMETRIC METRIC CONNECTION
We study a Para-Sasakian manifold admitting a semi-symmetric metric connection whose projective curvature tensor satisfies certain curvature conditions.
On ϕ-symmetric LP-Sasakian Manifolds admitting semi-symmetric metric connection
2015
The object of the present paper is to study locally ϕ-symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally ϕ-symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally ϕ-symmetric LP-Sasakian manifold with respect to Levi-Civita connection.
The Projective Quarter Symmetric Metric Connections and Their Curvature Tensors
International Mathematical Forum, 2009
In this paper, the existence of the projective quarter symmetric metric connection is proved in Riemannian manifolds. In particular two cases, this connection reduces to a semi-symmetric metric connection and to a projective semi-symmetric connection. Furthermore, we study a scalar curvature of Riemannian manifolds with keeping the covariant derivative of tensor W l ikj .
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.