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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 3

On anti-Kähler manifolds with complex semi-symmetric metric F-connection

Cagri KARAMAN
Aydin GEZER
Pages
1006–1019
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we construct a complex semi-symmetric metric F-connection on an antiKähler manifold.
📊
Key Findings & Data:First, we present some results concerning the torsion tensor of thecomplex semi-symmetric metric F-connection.
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Conclusion & Impact:Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we construct a complex semi-symmetric metric F-connection on an antiKähler manifold. First, we present some results concerning the torsion tensor of thecomplex semi-symmetric metric F-connection. Finally, we find expressions of the curvaturetensor, the conharmonic curvature tensor and the Weyl projective curvature tensor of suchconnection, and study their properties.

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Cite This Article

KARAMAN, C., GEZER, A. (2022). On anti-Kähler manifolds with complex semi-symmetric metric F-connection. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 3, 1006–1019. https://ajindex.com/articles/529685

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