η-Einstein Sasakian immersions in non-compact Sasakian space forms

Abstract

The aim of this paper is to study Sasakian immersions of (non-compact) complete regular Sasakian manifolds into the Heisenberg group and into $$ {\mathbb{B}}^N\times {\mathbb{R}}$$ equipped with their standard Sasakian structures. We obtain a complete classification of such manifolds in the η-Einstein case.