Metallic maps between metallic Riemannian manifolds and constancy of certain maps

Autor: Akyol, Mehmet Akif
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
DOI: 10.5831/HMJ.2019.41.2.343
Popis: 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.
Comment: 12 pages
Databáze: arXiv