New examples of Sasaki-Einstein manifolds
Differential Geometry
2011-03-30 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.1103.5573,
title = {New examples of Sasaki-Einstein manifolds},
author = {Toshiki Mabuchi and Yasuhiro Nakagawa},
journal= {arXiv preprint arXiv:1103.5573},
year = {2011}
}