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On Lightlike Geometry of Para-Sasakian Manifolds [PDF]

open access: yesThe Scientific World Journal, 2014
We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet   +2 more
doaj   +6 more sources

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

open access: yesJournal 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   +3 more
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   +3 more
doaj   +3 more sources

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

open access: yesJournal 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   +2 more
doaj   +2 more sources

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

open access: yesJournal of Hyperstructures, 2023
The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj   +1 more source

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

Riemman solitions in para sasakian Manifolds admitting different semi-symmetric structures [PDF]

open access: yesJournal of Hyperstructures, 2023
The object of the present paper is to study the Rie-mannian solitons on para sasakian manifolds admitting E.R=0, E.t P=0, E.E=0, E.P*=0, E.M=0, E.Wi=0, E.Wi*=0, R.R=0, R.P=0, R.E=0, R.P*=0, R.M=0, R.Wi=0, RWi*=0, R.K=0, R.C=0, E.C = 0, E.k=0, for i=1, 2,
Raghujyoti Kundu   +3 more
doaj   +1 more source

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   +1 more source

h-Almost Ricci–Yamabe Solitons in Paracontact Geometry

open access: yesMathematics, 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   +2 more
doaj   +1 more source

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

open access: yesInternational Journal of Analysis and Applications, 2022
In the present paper we study the existence or non-existence of warped product semi-slant submanifolds in quasi-para-Sasakian manifolds and prove that there are no proper warped product semi-slant submanifolds in a quasi-para-Sasakian manifold such that ...
Shamsur Rahman   +2 more
doaj   +1 more source

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