Conformal anti-invariant submersions from cosymplectic manifolds

Akyol M. A.

Hacettepe Journal of Mathematics and Statistics, vol.46, no.2, pp.177-192, 2017 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.15672/hjms.20174720336
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.177-192
  • Keywords: Conformal anti-invariant submersion, Conformal submersion, Cosymplectic manifold
  • Uşak University Affiliated: No

Abstract

We introduce conformal anti-invariant submersions from cosymplectic manifolds onto Riemannian manifolds. We give an example of a conformal anti-invariant submersion such that characteristic vector field ξ is vertical. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and show that the total manifold has certain product structures. Moreover, we examine necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic and check the harmonicity of such submersions.