Results 1 to 10 of about 583 (74)

Indefinite Almost Paracontact Metric Manifolds [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We
Mukut Mani Tripathi   +3 more
doaj   +6 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

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

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

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

On Ricci solitons in LP-Sasakian manifolds

open access: yesBibechana, 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   +3 more sources

Bi-paracontact structures and Legendre foliations [PDF]

open access: yes, 2002
We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-paracontact structure is defined on a contact manifold $(M,\eta)$, then under some natural assumptions of integrability, $M$ carries two transverse bi ...
Kofinas, G.   +2 more
core   +9 more sources

Riemann solitons on para-Sasakian geometry

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The goal of the present article is to investigate almost Riemann soliton and gradient almost Riemann soliton on 3-dimensional para-Sasakian manifolds.
K. De, U.C. De
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

Sesqui-Harmonic Curves in LP-Sasakian Manifolds

open access: yesUniversal 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

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