Infinitely many families of Sasaki-Einstein metrics on spheres
Differential Geometry
2024-06-06 v2 Algebraic Geometry
Abstract
We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least . We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizable manifolds.
Keywords
Cite
@article{arxiv.2203.08468,
title = {Infinitely many families of Sasaki-Einstein metrics on spheres},
author = {Yuchen Liu and Taro Sano and Luca Tasin},
journal= {arXiv preprint arXiv:2203.08468},
year = {2024}
}
Comments
Final version, to appear in Journal of Differential Geometry. 24 pages