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Journals / Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi / 2013 / Volume: 8 Issue: 2

A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold

Rajesh Kumar
Jagannath Chowdhury
Pages
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Publication Date
2013-12-05
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The aim of the present paper is to obtain the conditions under which the quasiconformal curvature tensor and -projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. to be a Riemannian manifold admitting a semi-symmetric

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present note we have considered recurrent metric connection.
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Key Findings & Data:In the present note we have considered recurrent metric connection.
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Conclusion & Impact:The aim of the present paper is to obtain the conditions under which the quasiconformal curvature tensor and -projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. to be a Riemannian manifold admitting a semi-symmetric
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semi-symmetric recurrent metric connection · quasi-conformal curvature tensor · -projective curvature tensor

Abstract

In the present note we have considered recurrent metric connection. The aim of the present paper is to obtain the conditions under which the quasiconformal curvature tensor and -projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. to be a Riemannian manifold admitting a semi-symmetric

Özet

Abstract: In the present note we have considered Mn to be a Riemannian manifold admitting a semi-symmetric recurrent metric connection. The aim of the present paper is to obtain the conditions under which the quasi-conformal curvature tensor and M-projective curvature tensor of semi-symmetric recurrent metric connection and the Riemannian connection to be equal. Key words: Semi-symmetric recurrent metric connection, quasi-conformal curvature tensor, M-projective curvature tensor.

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Cite This Article

Kumar, R., Chowdhury, J. (2013). A Note On The Quasi-Conformal And M-Projective Curvature Tensor Of A Semi-Symmetric Recurrent Metric Connection On A Riemannian Manifold. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, Volume: 8 Issue: 2. https://ajindex.com/articles/1278033

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References (6)

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  2. Mukhopadhyay S., Barua B., 1990. A note on the projective curvature tensor of a semi-symmetric recurrent metric connection on a Riemannian manifold. Ale Universitat, “AL. I Cuza” Iasi, Tomul XXXVI, Mathematica. 415-417.
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  4. Ray A.K., Mukhopadhyay S., 1990. Semi-symmetric recurrent metric connection on a Riemannian manifold. Jour. Pure Math. (7), 35-38.
  5. Smaranda D., Andonie O.C., 1976. On semi-symmetric connections, Ann. Fac. Sci. Univ. Nat. Zaire (Kinshasa) Sect. Math. Phys. 2, 265-270.
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