Sequential warped product submanifolds having holomorphic, totally real and pointwise slant factors


ŞAHİN B.

PERIODICA MATHEMATICA HUNGARICA, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1007/s10998-021-00422-w
  • Title of Journal : PERIODICA MATHEMATICA HUNGARICA
  • Keywords: CR-submanifold, Slant submanifold, Pointwise slant subman, Fold, Semi-slant submanifold, Hemi-slant submanifold, Kaehler manifold, CR-SUBMANIFOLDS, KAEHLER MANIFOLDS, GEOMETRY, CURRENTS

Abstract

We introduce sequential warped product submanifolds of Kaehler manifolds, provide examples and establish Chen's inequality for such submanifolds. The equality case is also studied. Moreover, inspired by Lawson and Simons's integral currrent's theorem on a submanifold, we find a similar pinching inequality for a sequential warped product submanifold and obtain geometric results when the equality case is satisfied.