Einstein metrics on the ten-sphere

We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere S^{10} . Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were S^{6} and S^{8} .

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Publication Details

Journal
Journal of the European Mathematical Society
Published
2025-05-30
DOI
https://doi.org/10.4171/jems/1668
Citations
1
Primary Topic
Advanced Differential Geometry Research
Type
article
Field-Weighted Citation Impact
1.15
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article

Einstein metrics on the ten-sphere

Matthias Wink, Jan Nienhaus
1 citations
Journal of the European Mathematical Society
Advanced Differential Geometry Research
1.15
article

Einstein metrics on the ten-sphere

Matthias Wink, Jan Nienhaus
article en
1 citations

Abstract

We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere S^{10} . Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were S^{6} and S^{8} .

Journal of the European Mathematical Society
University of California, Santa Barbara (US), University of California, Los Angeles (US)
Openalex Percentile: Top 19%
Advanced Differential Geometry Research
1.15
DOIOpen Access PDFOpenAlex
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Einstein metrics on the ten-sphere — Matthias Wink, Jan Nienhaus · Journal of the European Mathematical Society (2025) | TGRS Research Map | TGRS