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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 1

SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Yılmaz GÜNDÜZÜLALP
Bayram ŞAHİN
Pages
41–53
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples.
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Key Findings & Data:Then we define O’Neill’s tensors for such submersions and investigate their main properties.
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Conclusion & Impact:We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lightlike Manifold · Submersion · Lightlike submersion

Abstract

In this paper, we introduce the idea of a lightlike submersion from a semi-Riemannian manifold onto a lightlike manifold, and give some examples. Then we define O’Neill’s tensors for such submersions and investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation between the null sectional curvatures of a semi-Riemannian manifold and a lightlike manifold.

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Cite This Article

GÜNDÜZÜLALP, Y., ŞAHİN, B. (2022). SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 1, 41–53. https://ajindex.com/articles/530613

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References (6)

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