Results 1 to 10 of about 80 (67)

Metallic structures on tangent bundles of Lorentzian para-Sasakian manifolds [PDF]

open access: yesJournal 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   +2 more sources

Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

open access: yesMathematics, 2023
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar   +2 more
exaly   +3 more sources

On Ricci solitons in LP-Sasakian manifolds

open access: yesBibechana, 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
doaj   +4 more sources

ON (ϵ)-LORENTZIAN PARA-SASAKIAN MANIFOLDS

open access: yesCommunications of the Korean Mathematical Society, 2012
In this paper we study (ϵ)-Lorentzian para-Sasakian mani- folds and show its existence by an example. Some basic results regarding such manifolds have been deduced. Finally, we study conformally at and Weyl-semisymmetric (ϵ)-Lorentzian para-Sasakian manifolds.
Rajendra Prasad, Vibha Srivastava
exaly   +3 more sources

SLANT SUBMANIFOLDS OF LORENTZIAN SASAKIAN AND PARA SASAKIAN MANIFOLDS

open access: yesTaiwanese Journal of Mathematics, 2013
In this paper we introduce the notion of slant submanifolds of a Lorentzian almost contact manifold and of a Lorentzian almost para contact mani- fold.
Pablo Alegre
exaly   +3 more sources

On a class of Lorentzian para-Sasakian manifold

open access: yesProceedings of the Estonian Academy of Sciences: Physics, Mathematics, 2006
We classify Lorentzian para-Sasakian manifolds which satisfy P · C = 0, Z · C = LC Q(g, C), P · Z − Z · P = 0, and P · Z + Z · P = 0, where P is the v−Weyl projective tensor, Z is the concircular tensor, and C is the Weyl conformal curvature tensor.
Cengizhan Murathan   +3 more
exaly   +2 more sources

A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold

open access: yesAxioms
This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold.
Yanlin Li   +3 more
doaj   +2 more sources

CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2012
Abstract. We de ne a quarter symmetric metric connection in a Loren-tzian para-Sasakian manifold and study CR-submanifolds of a Lorentzianpara-Sasakian manifold endowed with a quarter symmetric metric connec-tion. Moreover, we also obtain integrability conditions of the distributionson CR-submanifolds. 1. IntroductionA. Bejancu introduced the notion of
Mobin Ahmad
exaly   +2 more sources

A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold

open access: yesExtracta Mathematicae
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj   +2 more sources

Geometry of warped product pseudo slant submanifolds in nearly Lorentzian para Sasakian Manifold [PDF]

open access: yesJournal of Hyperstructures, 2023
The object of the present paper is to study Lorentzian para-Sasakian manifold on a pseudo slant submanifold and usingsome properties like warped product on manifolds, totally geodesic foliation, integrability on the properties of nearly Lorentzian para ...
Shamsur Rahman, Avijit Kumar Paul
doaj   +1 more source

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