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A complete Kähler metric on $\mathbb{C}^n$ of nonnegative Ricci curvature with Euclidean volume growth and nonunique asymptotic cone

Dai, Jiwei et al.
arXiv (All) · Papers
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differential-geometry
We construct complete smooth Kähler metrics on $\mathbb{C}^n$ , $n\ge2$, with nonnegative Ricci curvature, Euclidean volume growth, and nonunique tangent cones at infinity. More generally, we prescribe the entire tangent cone set within a class of smooth Hopf cones, using a compact connected family
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