On generalized pseudo conformally symmetric manifolds

In this paper, a type of Riemannian manifold, namely generalized pseudo conformally symmetric manifold is studied. Several geometric properties of such spaces are studied. By imposing different restrictions on the conformal curvature tensor, we have obtained several properties. If the conformal curvature tensor is harmonic, then the form of the scalar curvature is obtained. Also, the relations among the 1-forms under various conditions are obtained.

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Publication Details

Journal
Malaya Journal of Matematik
Published
2024-12-03
DOI
https://doi.org/10.26637/mjm1204/009
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

On generalized pseudo conformally symmetric manifolds

Akshoy Patra
Malaya Journal of Matematik
Geometric Analysis and Curvature Flows
article

On generalized pseudo conformally symmetric manifolds

Akshoy Patra
article en

Abstract

In this paper, a type of Riemannian manifold, namely generalized pseudo conformally symmetric manifold is studied. Several geometric properties of such spaces are studied. By imposing different restrictions on the conformal curvature tensor, we have obtained several properties. If the conformal curvature tensor is harmonic, then the form of the scalar curvature is obtained. Also, the relations among the 1-forms under various conditions are obtained.

Malaya Journal of MatematikVol. 12(04)
Government of West Bengal (IN)
University of Burdwan
Openalex Percentile: Top 64%
Geometric Analysis and Curvature Flows
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On generalized pseudo conformally symmetric manifolds — Akshoy Patra · Malaya Journal of Matematik (2024) | TGRS Research Map | TGRS