New examples of Sasaki-Einstein manifolds
  In this note, stimulated by the existence result of Futaki-Ono-Wang for toric Sasaki-Einstein metrics, we obtain new examples of Sasaki-Einstein metrics on   S^1-bundles associated to canonical line bundles of P^1-bundles over K\"ahler-Einstein Fano manifolds, even though the Futaki's obstruction does not vanish.   Here the method of Sakane and Koiso is used, and our examples include non-toric Sasaki-Einstein manifolds. 
Toshiki Mabuchi and Yasuhiro Nakagawa
math.DG math.CV