Golden maps between golden Riemannian manifolds and constancy of certain maps

Şahin B., Akyol M. A.

Mathematical Communications, vol.19, no.2, pp.333-342, 2014 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 2
  • Publication Date: 2014
  • Journal Name: Mathematical Communications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.333-342
  • Keywords: Almost contact metric manifold, Almost product manifold, Golden Riemannian manifold, holomorphic map
  • Uşak University Affiliated: No

Abstract

We first introduce Golden maps between Golden Riemannian manifolds, give an example and show that such map is harmonic. Then we investigate the constancy of certain maps from Golden Riemannian manifolds to various manifolds by imposing the holomorphic-like map condition. Then we consider the reverse case and show that all such maps are constant.