DOI: 10.36890/iejg.1884826 ISSN: 1307-5624

$H$-Tensional Maps

Bouazza Kacımı, Ahmed Mohammed Cherif, Mustafa Özkan
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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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