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Infinitely many families of Sasaki-Einstein metrics on spheres

2022/03/16 by Yuchen Liu, Liu, Yuchen, Taro Sano +3 · 1 citation
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2203.08468

Abstract

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.

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