Results 11 to 20 of about 197 (118)

LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE LORENTZIAN PARA-SASAKIAN STATISTICAL MANIFOLD [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2023
In this paper, we introduce an indefinite LP-Sasakian statistical manifold and study lightlike submanifold of an indefinite LP-Sasakian statistical manifold. We also introduce some relations among induced geometrical objects with respect to dual connections in a lightlike submanifold of an indefinite LP-Sasakian statistical  manifold.
Mobin Ahmad, Mahtab Alam
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SOME TYPES OF η-RICCI SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2018
In this paper we study some types of  η-Ricci solitons on Lorentzianpara-Sasakian manifolds and we give an example of  η-Ricci solitons on 3-dimensional Lorentzian para-Sasakian manifold. We obtain the conditions of  η-Ricci soliton on ϕ-conformally flat, ϕ-conharmonically flat and ϕ-projectivelyflat Lorentzian para-Sasakian manifolds, the existence of
Singh, Abhishek, Kishor, Shyam
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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
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On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds

Turkish Journal of Mathematics and Computer Science, 2023
A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant $ \varphi- $ holomorphic sectional curvature. The presented paper is on the curvatures of semi-invariant submanifolds of a LP-Sasakian space form.
Ramazan SARI, İnan ÜNAL
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

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

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
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Sesqui-Harmonic Curves in LP-Sasakian Manifolds

Universal Journal of Mathematics and Applications, 2021
In this article, we characterize interpolating sesqui-harmonic spacelike curves in a four dimensional conformally and quasi-conformally flat and conformally symmetric Lorentzian Para-Sasakian manifold. We give some theorems for these curves.
Müslüm Aykut Akgün, Bilal Eftal Acet
doaj   +1 more source

Properties of Anti-Invariant Submersions and Some Applications to Number Theory

Mathematics, 2023
In this article, we investigate anti-invariant Riemannian and Lagrangian submersions onto Riemannian manifolds from the Lorentzian para-Sasakian manifold.
Ali H. Hakami, Mohd. Danish Siddiqi
doaj   +1 more source

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
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