Conformal slant riemannian maps to kähler manifolds

Akyol M. A., Şahin B.

Tokyo Journal of Mathematics, vol.42, no.1, pp.225-237, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.3836/tjm/1502179277
  • Journal Name: Tokyo Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.225-237
  • Keywords: Conformal slant Riemannian map, Harmonic map, Kähler manifold, Slant Riemannian map, Slant submanifold, Totally geodesic map
  • Uşak University Affiliated: No

Abstract

As a generalization of slant submanifolds and slant Riemannian maps, we introduce conformal slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds. We give non-trivial examples, investigate the geometry of foliations and obtain decomposition theorems by using the existence of conformal Riemannian maps. Moreover, we also investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal slant Riemannian maps to be totally geodesic.