Metallic maps between metallic Riemannian manifolds and constancy of certain maps
Differential Geometry
2020-03-10 v1
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.
Keywords
Cite
@article{arxiv.1702.04380,
title = {Metallic maps between metallic Riemannian manifolds and constancy of certain maps},
author = {Mehmet Akif Akyol},
journal= {arXiv preprint arXiv:1702.04380},
year = {2020}
}
Comments
12 pages