Results 11 to 20 of about 2,167 (137)

Some Results on Lorentzian Para-Sasakian Manifolds [PDF]

ISRN Geometry, 2011
The object of the present paper is to study Lorentzian para-Sasakian (briefly LP-Sasakian) manifolds satisfying certain conditions on the W2-curvature tensor.
Venkatesha, Bagewadi, C. S., Kumar, K. T. Pradeep   +2 more
openaire   +3 more sources

Curvature Properties of Quasi-Para-Sasakian Manifolds

International Electronic Journal of Geometry, 2019
The present paper is devoted to quasi-Para-Sasakian manifolds. Basic properties of such manifolds are obtained and general curvature identities are investigated. Next it is proved that if $M$ is quasi-Para-Sasakian manifold of constant curvature $K$. Then $K$ $\leq 0$ and $(i)~$if $K=0$, the manifold is paracosymplectic, $(ii)$ if $K<0$, the quasi ...
Erken, İrem Küpeli
openaire   +6 more sources

Geometric Analysis of η-Ricci Bourguignon Solitons on Para-Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

Journal of Mathematics
In this paper, we investigate the geometric properties of η-Ricci–Bourguignon (η-RB) solitons on para-Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal   +3 more
doaj   +2 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

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 para-sasakian manifolds satisfying certain curvature conditions

Filomat, 2017
In this paper, we investigate Ricci pseudo-symmetric and Ricci generalized pseudo-symmetric P-Sasakian manifolds. Next we study P-Sasakian manifolds satisfying the curvature condition S ? R = 0. Finally, we give an example of a 5-dimensional P-Sasakian manifold to verify some results.
De, U. C., Han, Yanling, Mandal, Krishanu   +2 more
openaire   +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

On $(epsilon)$ - Lorentzian para-Sasakian Manifolds

Iranian Journal of Mathematical Sciences and Informatics, 2022
Summary: The object of this paper is to study \((\epsilon)\)-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of \((\epsilon)\)-Lorentzian para-Sasakian manifold are investigated. Further, we study globally \(\phi\)-Ricci symmetric and weakly \(\phi\)-Ricci symmetric \((\epsilon)\)-Lorentzian ...
Prakasha, D. G., Prakash, A., Nagaraja, M., Veeresha, P.   +3 more
openaire   +2 more sources

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

h-Almost Ricci–Yamabe Solitons in Paracontact Geometry

Mathematics, 2022
In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient ...
Uday Chand De, Mohammad Nazrul Islam Khan, Arpan Sardar   +2 more
doaj   +1 more source