On generalized Weyl conformal curvature tensor in para-kenmotsu manifolds

In the present study, we consider a generalized Weyl conformal curvature tensor on para-Kenmotsu manifolds (briefly, PK-manifolds).First we describe certain vanishing properties of generalized Weyl conformal curvature tensor (brifly, GWC-curvature tensor) on a PK-manifold.Later, we study generalized Weyl conformally semi-symmetric PK-manifold that turns out to an Einstein manifold.Among others, it has been shown that the generalized Weyl conformally f-symmetric PK-manifold is of constant curvature or dr( ) = 0.

Publication Details

Journal
Results in Nonlinear Analysis
Published
2024-09-01
DOI
https://doi.org/10.31838/rna/2024.07.03.004
Citations
1
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.97
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On generalized Weyl conformal curvature tensor in para-kenmotsu manifolds

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Results in Nonlinear Analysis
Geometric Analysis and Curvature Flows
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On generalized Weyl conformal curvature tensor in para-kenmotsu manifolds

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Abstract

In the present study, we consider a generalized Weyl conformal curvature tensor on para-Kenmotsu manifolds (briefly, PK-manifolds).First we describe certain vanishing properties of generalized Weyl conformal curvature tensor (brifly, GWC-curvature tensor) on a PK-manifold.Later, we study generalized Weyl conformally semi-symmetric PK-manifold that turns out to an Einstein manifold.Among others, it has been shown that the generalized Weyl conformally f-symmetric PK-manifold is of constant curvature or dr( ) = 0.

Results in Nonlinear AnalysisVol. 7(3)
Openalex Percentile: Top 26%
Geometric Analysis and Curvature Flows
0.97
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On generalized Weyl conformal curvature tensor in para-kenmotsu manifolds · Results in Nonlinear Analysis (2024) | TGRS Research Map | TGRS