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BASRA JOURNAL OF SCIENCE
Article . 2025 . Peer-reviewed
License: CC BY NC
Data sources: Crossref
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On Concircular Curvature Tensor and Curvature Identities of C_5⊕C_12-Manifolds

Authors: Ali A. Abdulaali; Mohammed. Y. Abass;

On Concircular Curvature Tensor and Curvature Identities of C_5⊕C_12-Manifolds

Abstract

In this article, we determine the necessary and sufficient condition that makes -manifold classified as almost -manifold. We discover -manifold belongs to the class and then to the class because , however, this manifold does not belong to the class unless its dimension is 3, or it rounds to -manifold. We obtain the basic condition that makes -manifold has pointwise constant -holomorphic sectional curvature (pointwise constant -curvature). Moreover, we get the components of the concircular curvature tensor on the G-structure adjoined space (GSA-space) of -manifold. Also, we conclude that both -manifold of class and the concircularly flat -manifold has scalar curvature . Finally, we find a specific relationship between an Einstein manifold and a concircularly flat -manifold.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold