On the uniqueness of Sasaki-Einstein metrics

Abstract

Let $S$ be a compact Sasakian manifold which does not admit non-trivial Hamiltonian holomorphic vector fields. If there exists an Einstein-Sasakian metric on $S$, then it is unique.

References in corpus (1)

• A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure

Cited by in corpus (2)

• A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure
• Regularity of the geodesic equation in the space of Sasakian metrics