REMARKS ON METALLIC MAPS BETWEEN METALLIC RIEMANNIAN MANIFOLDS AND CONSTANCY OF CERTAIN MAPS

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Atıf İçin Kopyala

AKYOL M. A.

HONAM MATHEMATICAL JOURNAL, cilt.41, sa.2, ss.343-356, 2019 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 41 Sayı: 2
• Basım Tarihi: 2019
• Doi Numarası: 10.5831/hmj.2019.41.2.343
• Dergi Adı: HONAM MATHEMATICAL JOURNAL
• Sayfa Sayıları: ss.343-356
• Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we introduce metallic maps between metallic Riemannian manifolds, provide an example and obtain certain conditions for such maps to be totally geodesic. We also give a sufficient condition for a map between metallic Riemannian manifolds to be harmonic map. Then we investigate the constancy of certain maps between metallic Riemannian manifolds and various manifolds by imposing the holomorphic-like condition. Moreover, we check the reverse case and show that some such maps are constant if there is a condition for this.