New examples of Sasaki-Einstein manifolds

Details New examples of Sasaki-Einstein manifolds New examples of Sasaki-Einstein manifolds

2011-03-29

arxiv.org/abs/1103.5573v1

Mathematics

Differential Geometry

Scientific paper

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.

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