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arXiv · 2203.08468

Infinitely many families of Sasaki-Einstein metrics on spheres

Yuchen Liu·Taro Sano·Luca Tasin
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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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Yuchen Liu, Taro Sano, Luca Tasin. 2022-03-16. Infinitely many families of Sasaki-Einstein metrics on spheres. https://arxiv.org/abs/2203.08468

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