Geometric topology of CR-warped products in six-dimensional sphere

Abstract

In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

Keywords

• cr-warped products
• nearly kaehler manifold
• fundamental groups