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On the uniqueness of Sasaki-Einstein metrics

Differential Geometry 2009-06-16 v1

Abstract

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

Keywords

Cite

@article{arxiv.0906.2665,
  title  = {On the uniqueness of Sasaki-Einstein metrics},
  author = {Ken'ichi Sekiya},
  journal= {arXiv preprint arXiv:0906.2665},
  year   = {2009}
}
R2 v1 2026-06-21T13:13:29.613Z