CR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE PARA- SASAKIAN MANIFOLD [PDF]
The purpose of this paper is to study a totally contact umbilical contact CR-lightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic ...
Pandey, Shashikant, Prasad, Rajendra
core
On non-invariant hypersurfaces of a nearly hyperbolic Sasakian manifold
We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure.
Mobin Ahmad +2 more
core +1 more source
Harmonic (p, q)‐Curves in Trans‐Sasakian and Normal Almost Paracontact Metric Manifolds
In this paper, we give some characterizations about biharmonic, f‐harmonic, and f‐biharmonic (p, q)‐curves in 3‐dimensional trans‐Sasakian and normal almost paracontact metric manifolds. The (p, q)‐curves are considered as generalizations of magnetic curves.
Murat Altunbaş, B. B. Upadhyay
wiley +1 more source
Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
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.
Selcen Yüksel Perktaş +2 more
core
Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti +6 more
wiley +1 more source
Quarter-symmetric metric connection in a P-Sasakian manifold
In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
De Uday Chand, Mandal Krishanu
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The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav +4 more
wiley +1 more source
Xi(Perpendicular To)-Submanifolds Of Para-Sasakian Manifolds
Almost semiinvariant xi(perpendicular to)-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant xi(perpendicular to)-submanifolds and semiinvariant xi(perpendicular to)-submanifolds are presented.
Yuksel Perktas, Selcen +3 more
openaire +3 more sources
A Study on Contact Metric Manifolds Admitting a Type of Solitons
The principal aim of the present article is to characterize certain properties of η‐Ricci–Bourguignon solitons on three types of contact manifolds, that are K‐contact manifolds, (κ, μ)‐contact metric manifolds, and N(κ)‐contact metric manifolds. It is shown that if a K‐contact manifold admits an η‐Ricci–Bourguignon soliton whose potential vector field ...
Tarak Mandal +4 more
wiley +1 more source
On generalized
The purpose of the present paper is to study some properties of generalized MMZR(X,Y)⋅M~∗∗=0ηM~∗∗(X,Y)⋅S=0ψ ...
Swati Jain +3 more
doaj +1 more source

