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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 5

Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds

Kwang-soon Park(University of Seoul)0000-0002-6539-6216
Pages
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Publication Date
2020-10-06
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AI Summary & Key Takeaways

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

Finally, we give some examples of such maps.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds.
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Key Findings & Data:We study their properties: the geometry of foliations, the conditions for total manifolds to be locally product manifolds, the conditions for such maps to be totally geodesic.
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Conclusion & Impact:Finally, we give some examples of such maps.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:horizontally conformal submersion · quaternionic manifold · totally geodesic

Abstract

As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We study their properties: the geometry of foliations, the conditions for total manifolds to be locally product manifolds, the conditions for such maps to be totally geodesic. Finally, we give some examples of such maps.

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Cite This Article

Park, K. (2020). Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 5. https://doi.org/10.15672/hujms.599132

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