Results 11 to 20 of about 3,015 (140)

Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold

Turkish Journal of Mathematics and Computer Science, 2023
In this paper, invariant submanifolds of a para-Sasakian manifold have been studied. Some special submanifolds such as pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, and 2-Ricci generalized pseudoparallel submanifolds of a para-Sasakian manifold have been considered.
Tuğba MERT, Mehmet ATÇEKEN
openaire   +3 more sources

Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş   +2 more
doaj   +2 more sources

A study on W9-curvature tensor within the framework of Lorentzian para-Sasakian manifold

Extracta Mathematicae
This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold.
G.P. Singh, S.S. Mishra, P. Sharma
doaj   +2 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

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

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

A Study on Trans-para-Sasakian Manifolds

Journal of Innovative Science and Engineering (JISE)
In the current paper, we make the first contribution to investigate conditions under which three-dimensional trans-para-Sasakian manifold has η-parallel Ricci tensor and cyclic parallel Ricci tensor.
Mustafa Özkan, İrem Küpeli Erken
openaire   +5 more sources

A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold

Axioms
This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold.
Yanlin Li, Arup Kumar Mallick, Arindam Bhattacharyya, Mića S. Stanković   +3 more
doaj   +2 more sources

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

Journal 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, Ashoke Das, Ranjit Saibya, Ashis Biswas   +3 more
doaj   +1 more source