ON THE ISOMETRIES OF HOMOGENEOUS NEARLY K¨AHLER S3 × S3

Abstract

In this article we prove some properties of the isometry groups of manifold S3 ×S3,
both with respect to the standard Euclidean product metric ⟨·, ·⟩ and nearly K¨ahler metric g.
We also investigate the action of these isometries on certain classes of hypersufaces of S3 × S3