Einstein metrics on the Ten-Sphere

2023/03/08 by Nienhaus, Jan, Wink, Matthias · 2 citations
#53C20) #53C25 (53C15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2303.04832

Abstract

We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere S¹⁰. Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were S⁶ and S⁸.

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