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.

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Publication Details

Journal
Journal of Differential Geometry
Published
2025-05-01
DOI
https://doi.org/10.4310/jdg/1747062009
Primary Topic
Hermeneutics and Narrative Identity
Type
article
Field-Weighted Citation Impact
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article

Infinitely many families of Sasaki-Einstein metrics on spheres

Luca Tasin, Taro Sano
Journal of Differential Geometry
Hermeneutics and Narrative Identity
article

Infinitely many families of Sasaki-Einstein metrics on spheres

Luca Tasin, Taro Sano
article en

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.

Journal of Differential GeometryVol. 130(1)
Northwestern University (US), University of Milan (IT), Kobe University (JP)
Openalex Percentile: Top 99%
Hermeneutics and Narrative Identity
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