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arXiv · 1702.04380

Metallic maps between metallic Riemannian manifolds and constancy of certain maps

Mehmet Akif Akyol
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Abstract

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.

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BibTeXRIS

Mehmet Akif Akyol. 2017-02-10. Metallic maps between metallic Riemannian manifolds and constancy of certain maps. https://doi.org/10.5831/hmj.2019.41.2.343

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