Deformation of a Sasakian Manifold

Abstract

A contact Structure on a Brieskorn manifold is studied by K. Abe [1] and S. Saki and C.S. Hsu[2], K. Abe [1] proved that there exist Sasakian structure on Brieskorn manifold. We apply these deformation on the standard Sasakian spheres and show that Brieskorn manifold have atmost contact metric manifold so that Brieskorn manifolds are invariant submanifolds of these deformed spheres.