Submersions of hemi-slant submanifolds


Şahin B., Polat G., Levent A.

Hacettepe Journal of Mathematics and Statistics, vol.54, no.5, pp.1783-1791, 2025 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 5
  • Publication Date: 2025
  • Doi Number: 10.15672/hujms.1534584
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1783-1791
  • Keywords: CR-submanifold, hemi-slant submanifold, holomorphic sectional curvature, Kähler manifold, Riemannian submersion
  • Inonu University Affiliated: Yes

Abstract

In this paper, we introduce Riemannian submersions of a hemi-slant submanifold of a Kähler manifold by observing the integrability of the anti-invariant distribution of a hemi-slant submanifold and the integrability of the vertical distribution of a Riemannian submersion. Using this notion, we show that the base manifold is a Kähler manifold in the submersion of a hemi-Kaehlerian slant submanifold of an almost Hermitian manifold. We obtain an inequality between the sectional curvature of the hemi-Kaehlerian slant submanifold and the holomorphic sectional curvature of the base manifold. If this inequality becomes equality, a geometric result is given. In addition, the Ricci tensor field on the horizontal distribution along this submersion is also found.