$HS$-tensional maps and $HM$-tensional maps

Bouazza Kacimi; Ahmed Mohammed Cherif; Mustafa Özkan

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arXiv · 2509.08564

$HS$-tensional maps and $HM$-tensional maps

Bouazza Kacimi·Ahmed Mohammed Cherif·Mustafa Özkan

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Abstract

Let $\psi: (M,g)\longrightarrow (N,h)$ be a smooth map between Riemannian manifolds. The tension field of $\psi$ can be regarded as a map from $(M,g)$ into the Riemannian vector bundle $\psi^{-1}TN$, equipped with the Sasaki metric $G_{S}$. In this paper, we study certain aspects of two types of maps: those whose tension fields are harmonic maps (called $HM$-tensional maps) and those whose tension fields are harmonic sections (called $HS$-tensional maps).

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BibTeX RIS

Bouazza Kacimi, Ahmed Mohammed Cherif, Mustafa Özkan. 2025-09-10. $HS$-tensional maps and $HM$-tensional maps. https://arxiv.org/abs/2509.08564

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