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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 1

Conformal slant submersions

Mehmet Akif Akyol
Bayram Şahin
Pages
28–44
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

Moreover, we find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:As a generalization of conformal holomorphic submersions and conformal anti-invariant submersions, we introduce a new conformal submersion from almost Hermitian manifolds onto Riemannian manifolds, namely conformal slant submersions.
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Key Findings & Data:We give examples and find necessary and sufficient conditions for such maps to be harmonic morphism.
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Conclusion & Impact:Moreover, we find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian submersion · slant-submersion · conformal submersion

Abstract

As a generalization of conformal holomorphic submersions and conformal anti-invariant submersions, we introduce a new conformal submersion from almost Hermitian manifolds onto Riemannian manifolds, namely conformal slant submersions. We give examples and find necessary and sufficient conditions for such maps to be harmonic morphism. We also investigate the geometry of foliations which are arisen from the definition of a conformal submersion and obtain a decomposition theorem on the total space of a conformal slant submersion. Moreover, we find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.

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Cite This Article

Akyol, M. A., Şahin, B. (2022). Conformal slant submersions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 1, 28–44. https://ajindex.com/articles/529776

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