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Journals / International Electronic Journal of Geometry / 2026 / Volume: 19 Issue: 2

$H$-Tensional Maps

Bouazza Kacımı(University of Mascara)0000-0002-5225-8455
Ahmed Mohammed Cherif(University of Mascara)0000-0002-6155-0976
Mustafa Özkan(Gazı University)0000-0002-5883-2294
Pages
—
Publication Date
2026-10-25
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AI Summary & Key Takeaways

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

We obtain several nonexistence results for nonharmonic $H$-tensional maps and for nonminimal $H$-tensional submanifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study smooth maps, namely $H$-tensional, between Riemannian manifolds whose tension fields are harmonic.
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Key Findings & Data:Notice that, harmonic maps and minimal submanifolds form a special subclass of this notion.
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Conclusion & Impact:We obtain several nonexistence results for nonharmonic $H$-tensional maps and for nonminimal $H$-tensional submanifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Harmonic map · tension field · submanifold

Abstract

In this paper, we study smooth maps, namely $H$-tensional, between Riemannian manifolds whose tension fields are harmonic. Notice that, harmonic maps and minimal submanifolds form a special subclass of this notion. We obtain several nonexistence results for nonharmonic $H$-tensional maps and for nonminimal $H$-tensional submanifolds.

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Cite This Article

Kacımı, B., Cherif, A. M., Özkan, M. (2026). $H$-Tensional Maps. International Electronic Journal of Geometry, Volume: 19 Issue: 2. https://doi.org/10.36890/iejg.1884826

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