$HS$-tensional maps and $HM$-tensional maps
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911356130689024 |
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| author | Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa |
| author_facet | Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08564 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $HS$-tensional maps and $HM$-tensional maps Kacimi, Bouazza Cherif, Ahmed Mohammed Özkan, Mustafa Differential Geometry 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). |
| title | $HS$-tensional maps and $HM$-tensional maps |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.08564 |