On the isometries of homogeneous nearly Kähler 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 Kähler metric g. We also investigate the action of these isometries on certain classes of hypersufaces of S3 × S3.