$H$-Tensional Maps

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Kacimi B., Cherif A. M., Özkan M.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.19, sa.2, ss.599-611, 2026 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 19 Sayı: 2
• Basım Tarihi: 2026
• Doi Numarası: 10.36890/iejg.1884826
• Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.599-611
• Gazi Üniversitesi Adresli: Evet

Özet

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.