Results 1 to 10 of about 545 (188)

Pseudo‐projective and quasi‐conformal curvature tensors on Riemannian submersions [PDF]

Mathematical Methods in the Applied Sciences, 2021
In this study, pseudo‐projective and quasi‐conformal curvature tensors on a Riemannian submersion have been examined and on a Riemannian submersion new curvature relations for pseudo‐projective curvature tensor and quasi‐conformal curvature tensor under certain conditions have been obtained.
Gulhan Ayar
exaly   +15 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   +5 more sources

On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection [PDF]

Journal of Hyperstructures, 2021
The purpose of the present paper is to study some properties of Sasakian manifolds with respect to Zamkovoy connection. Here, we study pseudo-projectively flat, quasi-pseudoprojectively flat and φ-pseudo-projectively flat Sasakian manifolds admitting ...
Abhijit Mandal, Ashoke Das
doaj   +2 more sources

Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold [PDF]

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
Summary: In the present paper we have studied the curvature tensor of a normal paracontact metric manifold satisfying the conditions \(R(\xi,X)\widetilde{P}=0\), \(\widetilde{P}(\xi,X)R=0\), \(\widetilde{P}(\xi,X)\widetilde{P}=0\), \(\widetilde{P}(\xi,X) S=0\), \(\widetilde{P}(\xi,X)\widetilde{Z}=0\) and pseudo projective flatness, where \(R ...
Yıldırım, Ümit, Atçeken, Mehmet, Dirik, Süleyman   +2 more
openaire   +7 more sources

A Pseudo Projective Curvature Tensor on a Kenmotsu Manifold

SAMRIDDHI A Journal of Physical Sciences Engineering and Technology, 2021
The paper deals the properties of pseudo projective curvature tensor in Riemannian and Kenmotsu manifolds.
exaly   +2 more sources

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti, Chowdhury Partha Roy   +1 more
doaj   +2 more sources

On Almost C(α)-Manifold Satisfying Certain Curvature Conditions [PDF]

Cumhuriyet Science Journal
This research article is about the geometry of the almost C(α)- manifold. Some important properties of the almost C(α)- manifold with respect to the W_3- curvature tensor, such as W_3-flat and W_3- semi-symmetry, are investigated.
Pakize Uygun, Tuğba Mert, Mehmet Atçeken   +2 more
doaj   +2 more sources

Impact of pseudo-projective curvature tensor on sequential doubly warped product manifolds with physical applications

European Physical Journal Plus
Abstract This paper investigates the geometric and physical properties of the pseudo-projective curvature tensor in the context of Sequential Doubly Warped Product Manifolds (SDWPM). We derive comprehensive expressions for this tensor’s components and establish precise necessary and sufficient conditions under which a SDWPM becomes pseudo ...
Ayman Elsharkawy, Uday Chand De, De Uday Chand   +2 more
exaly   +2 more sources

Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds

AIMS Mathematics
<p>This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and fiber manifolds. The research highlights key geometric characteristics of the base and fiber
Ayman Elsharkawy
exaly   +3 more sources

Curvature tensors and Ricci solitons with respect to Zamkovoy connection in anti-invariant submanifolds of trans-Sasakian manifold [PDF]

Mathematica Bohemica, 2022
The present paper deals with the study of some properties of anti-invariant submanifolds of trans-Sasakian manifold with respect to a new non-metric affine connection called Zamkovoy connection.
Payel Karmakar
doaj   +1 more source