Results 1 to 10 of about 13,990,992 (117)

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

Mathematics, 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, Nasser Bin Turki, Sameh Shenawy   +2 more
exaly   +4 more sources

On Ricci solitons in LP-Sasakian manifolds

Bibechana, 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   +6 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   +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

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

Journal 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

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

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Conformal η‐Ricci‐Yamabe Solitons within the Framework of ϵ‐LP‐Sasakian 3‐Manifolds

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In the present note, we study ϵ‐LP‐Sasakian 3‐manifolds M3(ϵ) whose metrics are conformal η‐Ricci‐Yamabe solitons (in short, CERYS), and it is proven that if an M3(ϵ) with a constant scalar curvature admits a CERYS, then £Uζ is orthogonal to ζ if and only if Λ − ϵσ = −2ϵl + (mr/2) + (1/2)(p + (2/3)). Further, we study gradient CERYS in M3(ϵ) and proved
Abdul Haseeb, Meraj Ali Khan, Antonio Scarfone   +2 more
wiley   +1 more source

Biharmonic Curves in a Strict Walker 3‐Manifold

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
In this paper, we study the geometry of biharmonic curves in a strict Walker 3‐manifold and we obtain explicit parametric equations for biharmonic curves and time‐like biharmonic curves, respectively. We discuss the conditions for a speed curve to be a slant helix in a Walker manifold.
Mamadou Gningue, Ameth Ndiaye, Rénovat Nkunzimana, Ildefonso Castro   +3 more
wiley   +1 more source