Results 1 to 10 of about 4,004 (122)

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   +4 more sources

Contact pseudo-slant submanifolds of a para-Sasakian manifold according to type 1, type 2, type 3 cases

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2023
This paper aims to present work on contact pseudo-slant submanifolds of para-Sasakian manifolds. The study includes the definitions and some results on type 1, type 2, and type 3 contact pseudo-slant submanifolds.
Hüseyin Yiğit, Süleyman Dirik
doaj   +4 more sources

Some Basic Inequalities on (ϵ)-Para Sasakian Manifold

open access: yesSymmetry, 2022
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications.
Mohd Siddiqi   +2 more
exaly   +3 more sources

On lightlike geometry of para-Sasakian manifolds. [PDF]

open access: yesScientificWorldJournal, 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. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para ...
Acet BE, Yüksel Perktaş S, Kılıç E.
europepmc   +5 more sources

Pseudoparallel Invariant Submanifolds of a Para-Sasakian Manifold

open access: yesTurkish 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

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   +4 more sources

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

open access: yesExtracta 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

Results on para-Sasakian manifold admitting a quarter symmetric metric connection [PDF]

open access: yesCubo, 2020
In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian ...
Vishnuvardhana S.V., Venkatesha
doaj   +2 more sources

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

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

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

open access: yesAxioms
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   +3 more
doaj   +2 more sources

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