A class of Sasakian 5-manifolds

  title={A class of Sasakian 5-manifolds},
  author={LUIGI VEZZONI}
We obtain some general results on Sasakian Lie algebras and prove as a consequence that a (2n + 1)-dimensional nilpotent Lie group admitting left-invariant Sasakian structures is isomorphic to the real Heisenberg group H2n+1. Furthermore, we classify Sasakian Lie algebras of dimension 5 and determine which of them carry a Sasakian α-Einstein structure. We… CONTINUE READING