Conformal anti-invariant submersions from almost Hermitian manifolds

Akyol M. A., Şahin B.

Turkish Journal of Mathematics, vol.40, no.1, pp.43-70, 2016 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1408-20
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.43-70
  • Keywords: Anti-invariant submersion, Conformal anti-invariant sub-mersion, Conformal submersion, Riemannian submersion
  • Uşak University Affiliated: No

Abstract

We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arose from the definition of a conformal submersion, and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.