Conformal semi-slant submersions

Akyol M. A.

International Journal of Geometric Methods in Modern Physics, vol.14, no.7, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 7
  • Publication Date: 2017
  • Doi Number: 10.1142/s0219887817501146
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: conformal semi-slant submersion, conformal submersion, distribution, Kähler manifold, Riemannian submersion, Second fundamental form of a map, semi-slant submersion
  • Uşak University Affiliated: No

Abstract

Park and Prasad [Semi-slant submersions, Bull. Korean Math. Soc. 50(3) (2013) 951-962.] defined and studied semi-slant submersions as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions. As a generalization of semi-slant submersions, we introduce conformal semi-slant submersions and study the new submersions from almost Hermitian manifolds onto Riemannian manifolds. We study the integrability of ditributions and the geometry of leaves of a conformal submersion. Moreover, we show that there are certain product structures on base manifold of a conformal semi-slant submersion. We also obtain totally geodesic conditions for such maps. Finally, we give lots of examples.