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.
Infinitely many families of Sasaki-Einstein metrics on spheres / Y. Liu, T. Sano, L. Tasin. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - 130:1(2025 May), pp. 1-26. [10.4310/jdg/1747062009]
Infinitely many families of Sasaki-Einstein metrics on spheres
L. TasinUltimo
2025
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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