On a submersion of generic submanifold of a nearly Kaehler manifold

Fatima T., Akyol M. A., Alzulaibani A. A.

International Journal of Geometric Methods in Modern Physics, vol.19, no.4, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.1142/s0219887822500487
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Almost Hermitian submersions, Generic submanifolds, Nearly Kaehler manifolds, Riemannian submersions
  • Uşak University Affiliated: No

Abstract

The purpose of this paper is to study the submersions of a generic submanifold M of a nearly Kaehler manifold M. It is proved that the base space B of such a submersion which is an almost Hermitian manifold, turns out to be nearly Kaehler. It is also shown under certain conditions that base B becomes Kaehler. Further, we give some curvature relations; specifically, we derive the relation between the holomorphic sectional curvature of M restricted to the horizontal distribution and that of B.