English

On irregular Sasaki-Einstein metrics in dimension 5

Algebraic Geometry 2022-02-23 v1 Differential Geometry

Abstract

We show that there are no irregular Sasaki-Einstein structures on rational homology 5-spheres. On the other hand, using K-stability we prove the existence of continuous families of non-toric irregular Sasaki-Einstein structures on odd connected sums of S2×S3S^2 \times S^3.

Cite

@article{arxiv.1806.00285,
  title  = {On irregular Sasaki-Einstein metrics in dimension 5},
  author = {Hendrik Süß},
  journal= {arXiv preprint arXiv:1806.00285},
  year   = {2022}
}

Comments

14 pages

R2 v1 2026-06-23T02:15:57.717Z