English

On Sasaki-Einstein manifolds in dimension five

Differential Geometry 2011-08-19 v2

Abstract

We prove the existence of Sasaki-Einstein metrics on certain simply connected 5-manifolds where until now existence was unknown. All of these manifolds have non-trivial torsion classes. On several of these we show that there are a countable infinity of deformation classes of Sasaki-Einstein structures.

Keywords

Cite

@article{arxiv.0903.0152,
  title  = {On Sasaki-Einstein manifolds in dimension five},
  author = {Charles P. Boyer and Michael Nakamaye},
  journal= {arXiv preprint arXiv:0903.0152},
  year   = {2011}
}

Comments

18 pages, Exposition was expanded and a reference added

R2 v1 2026-06-21T12:17:00.366Z