arXiv Open Access 2025

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

Bouazza Kacimi Ahmed Mohammed Cherif Mustafa Özkan

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Abstrak

Let $ψ: (M,g)\longrightarrow (N,h)$ be a smooth map between Riemannian manifolds. The tension field of $ψ$ can be regarded as a map from $(M,g)$ into the Riemannian vector bundle $ψ^{-1}TN$, 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).

Topik & Kata Kunci

math.DG

Penulis (3)

Bouazza Kacimi

Ahmed Mohammed Cherif

Mustafa Özkan

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APA MLA BibTeX

Kacimi, B., Cherif, A.M., Özkan, M. (2025). $HS$-tensional maps and $HM$-tensional maps. https://arxiv.org/abs/2509.08564

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓