Einstein metrics on connected sums of $S^2\times S^3$
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
The aim of this paper is to construct infinitely many families of Einstein metrics on the connected sums of arbitrary number of copies of . We realize these 5-manifolds as total spaces of Seifert bundles over Del Pezzo orbifolds. A K\"ahler--Einstein metric on the Del Pezzo orbifold is then lifted to an Einstein metric using the Kobayashi--Boyer--Galicki method.
Cite
@article{arxiv.math/0402141,
title = {Einstein metrics on connected sums of $S^2\times S^3$},
author = {János Kollár},
journal= {arXiv preprint arXiv:math/0402141},
year = {2007}
}