2019/06/26 by Székelyhidi, Gábor
#53C25 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1906.11107
We consider the Calabi-Yau metrics on Cn constructed recently by Yang Li, Conlon-Rochon, and the author, that have tangent cone C× A1 at infinity for the (n-1)-dimensional Stenzel cone A1. We show that up to scaling and isometry this Calabi-Yau metric on Cn is unique. We also discuss possible generalizations to other manifolds and tangent cones.