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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 53 Issue: 5

On the almost h-conformal semi-slant Riemannian maps

Kwang-soon Park(University of Seoul)0000-0002-6539-6216
Pages
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Publication Date
2024-10-15
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AI Summary & Key Takeaways

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

We also investigate the condition for such maps to be totally geodesic and the harmonicity of such maps.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:As a generalization of conformal semi-slant submersions, semi-slant Riemannian maps, almost h-semi-slant submersions and almost h-semi-slant Riemannian maps, we introduce almost h-conformal semi-slant submersions and almost h-conformal semi-slant Riemannian maps.
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Key Findings & Data:We give some examples of such maps and also introduce some types of pluriharmonic maps, invariant maps and geodesic maps.
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Conclusion & Impact:We also investigate the condition for such maps to be totally geodesic and the harmonicity of such maps.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:conformal Riemannian map · quaternionic manifold · pluriharmonic

Abstract

As a generalization of conformal semi-slant submersions, semi-slant Riemannian maps, almost h-semi-slant submersions and almost h-semi-slant Riemannian maps, we introduce almost h-conformal semi-slant submersions and almost h-conformal semi-slant Riemannian maps. We give some examples of such maps and also introduce some types of pluriharmonic maps, invariant maps and geodesic maps. We study the geometry of foliations, the integrability of distributions, the properties of pluriharmonic maps, invariant maps and geodesic maps. We also investigate the condition for such maps to be totally geodesic and the harmonicity of such maps.

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Cite This Article

Park, K. (2024). On the almost h-conformal semi-slant Riemannian maps. Hacettepe Journal of Mathematics and Statistics, Volume: 53 Issue: 5. https://doi.org/10.15672/hujms.1113123

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