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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 6

Isotropic Riemannian submersions

Bayram ŞAHİN
Feyza Esra ERDOĞAN
Pages
2284–2296
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

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

We also study λ-isotropic submersions with pointwise planar horizontal sections.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we present the notion of isotropic submersions between Riemannian manifolds.
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Key Findings & Data:We first give examples to illustrate this new notion.
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Conclusion & Impact:We also study λ-isotropic submersions with pointwise planar horizontal sections.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O’Neill’s tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study λ-isotropic submersions with pointwise planar horizontal sections.

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Cite This Article

ŞAHİN, B., ERDOĞAN, F. E. (2022). Isotropic Riemannian submersions. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 6, 2284–2296. https://ajindex.com/articles/607557

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