Results 11 to 20 of about 130 (98)

Hypersurfaces of Lorentzian para-Sasakian manifolds

MATHEMATICA SCANDINAVICA, 2011
In this paper we study the invariant and noninvariant hypersurfaces of $(1,1,1)$ almost contact manifolds, Lorentzian almost paracontact manifolds and Lorentzian para-Sasakian manifolds, respectively. We show that a noninvariant hypersurface of an $(1,1,1)$ almost contact manifold admits an almost product structure.
Perktas, Selcen Yuksel, Kilic, Erol, Keles, Sadik   +2 more
openaire   +4 more sources

ON (ϵ)-LORENTZIAN PARA-SASAKIAN MANIFOLDS

Communications 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
exaly   +3 more sources

Geodesic Lightlike Submanifolds of Lorentzian Para-Sasakian Manifolds

Journal of Physics: Conference Series, 2022
Abstract In this paper we study invariant lightlike submanifolds of Lorentzian para-sasakian manifolds. We investigate geodesic CR-lightlike submanifolds of Lorentzian para-sasakian manifolds. We study screen CR-lightlike submanifolds of Lorentzian para-sasakian manifolds.
Ejaz Sabir Lone, Pankaj Pandey
exaly   +2 more sources

SLANT SUBMANIFOLDS OF LORENTZIAN SASAKIAN AND PARA SASAKIAN MANIFOLDS

Taiwanese 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 some classes of invariant submanifolds of lorentzian para-sasakian manifolds

Tamkang Journal of Mathematics, 2016
The object of the present paper is to study invariant submanifolds of Lorenzian Para-Sasakian manifolds. We consider the recurrent and bi-recurrent invariant submanifolds of Lorentzian para-Sasakian manifolds and pseudo-parallel and generalized Ricci pseudo-parallel invariant submanifolds of Lorentzian para-Sasakian manifolds.
Srimayee Samui, Uday Chand De
openaire   +3 more sources

Curvature and Solitonic Structures of Para-Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics
This paper investigates the complete lift of para-Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam   +2 more
doaj   +2 more sources

η-Ricci solitons on Lorentzian para-Sasakian manifolds

Filomat, 2016
We consider η-Ricci solitons on Lorentzian para-Sasakian manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0 and S · R(ξ,X) = 0. We prove that on a Lorentzian para-Sasakian manifold (M, φ, ξ, η, 1), if the Ricci curvature satisfies one of the previous conditions, the existence of η-Ricci solitons implies that (M, 1) is Einstein manifold ...
Blaga Adara M
exaly   +3 more sources

On invariant submanifolds of lorentzian para-sasakian manifolds

, 2009
We consider semiparallel and 2-semiparallel invariant submanifolds of Lorentzian para-Sasakian manifolds. We show that these submanifolds are totally geodesic. We also consider invariant submanifolds of Lorentzian para-Sasakian manifolds satisfying the conditions Z (X, Y) . alpha = 0 and Z (X, Y) . (del) over bar (alpha) = 0 with tau not equal n(n - 1).
Özgür, Cihan, Murathan, Cengizhan
openaire   +4 more sources

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

Bulletin 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
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On anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds

Filomat, 2018
In this paper, we study a semi-Riemannian submersion from Lorentzian almost (para) contact manifolds and find necessary and sufficient conditions for the characteristic vector field to be vertical or horizontal. We also obtain decomposition theorems for anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds onto ...
Morteza Faghfouri
exaly   +4 more sources