Semi-invariant ζ-Riemannian submersions from almost contact metric manifolds

Akyol M. A., Sarl R., Aksoy E.

International Journal of Geometric Methods in Modern Physics, vol.14, no.5, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.1142/s0219887817500748
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: anti-invariant ζ-Riemannian submersion, Riemannian submersion, Sasakian manifold, semi-invariant ζ-Riemannian submersion
  • Uşak University Affiliated: No

Abstract

As a generalization of anti-invariant ζ-Riemannian submersions, we introduce semi-invariant ζ-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry of foliations which arise from the definition of a Riemannian submersion and proving a necessary and sufficient condition for a semi-invariant ζ-Riemannian submersion to be totally geodesic. Moreover, we study semi-invariant ζ-Riemannian submersions with totally umbilical fibers.