ON SLANT RIEMANNIAN SUBMERSIONS FOR COSYMPLECTIC MANIFOLDS

Erken I. K., MURATHAN C.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.51, no.6, pp.1749-1771, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 51 Issue: 6
  • Publication Date: 2014
  • Doi Number: 10.4134/bkms.2014.51.6.1749
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1749-1771
  • Keywords: Riemannian submersion, cosymplectic manifold, slant submersion, HERMITIAN-MANIFOLDS, FIELDS
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifold. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions in the cases where the characteristic vector field is vertical or horizontal.