Conformal semi-invariant Riemannian maps to Kähler manifolds

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Akyol M. A., Şahin B.

Revista de la Union Matematica Argentina, vol.60, no.2, pp.459-468, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.33044/revuma.v60n2a12
  • Journal Name: Revista de la Union Matematica Argentina
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.459-468
  • Keywords: Conformal riemannian map, Conformal semi-invariant riemannian map, CR-submanifold, Hermitian manifold, Semi-invariant riemannian map
  • Uşak University Affiliated: No

Abstract

As a generalization of CR-submanifolds and semi-invariant Riemannian maps, we introduce conformal semi-invariant 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. We also investigate the harmonicity of such maps and find necessary and sufficient conditions for conformal anti-invariant Riemannian maps to be totally geodesic.