Infinitely many families of Sasaki-Einstein metrics on spheres

We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizable manifolds.

Saved in:

Bibliographic Details
Main Authors:	Liu, Yuchen, Sano, Taro, Tasin, Luca
Format:	Journal Article
Language:	English
Published:	16-03-2022
Subjects:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We show that there exist infinitely many families of Sasaki-Einstein metrics on every odd-dimensional standard sphere of dimension at least $5$. We also show that the same result is true for all odd-dimensional exotic spheres that bound parallelizable manifolds.
DOI:	10.48550/arxiv.2203.08468