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Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 1

Scalar curvature and symmetry properties of lightlike submanifolds

Cyriaque ATINDOGBE
Oscar LUNGIAMBUDILA
Joël TOSSA
Pages
95–113
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

In the coisotropic case, we show that, under some conditions, these lightlike submanifolds are totally geodesic.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the induced Ricci tensor and the extrinsic scalar curvature on lightlike submanifolds are obtained.
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Key Findings & Data:An example of extrinsic scalar curvature on one class of 2-degenerate manifolds is provided.
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Conclusion & Impact:In the coisotropic case, we show that, under some conditions, these lightlike submanifolds are totally geodesic.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the induced Ricci tensor and the extrinsic scalar curvature on lightlike submanifolds are obtained. This scalar quantity extend the result given by C. Atindogbe in [1]. An example of extrinsic scalar curvature on one class of 2-degenerate manifolds is provided. We investigate lightlike submanifolds which are locally symmetric, semi-symmetric, Ricci semi-symmetric in indefinite spaces form. In the coisotropic case, we show that, under some conditions, these lightlike submanifolds are totally geodesic.

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Cite This Article

ATINDOGBE, C., LUNGIAMBUDILA, O., TOSSA, J. (2022). Scalar curvature and symmetry properties of lightlike submanifolds. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 1, 95–113. https://ajindex.com/articles/609042

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References (12)

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