Uniqueness of some Calabi–Yau metrics on $${\mathbf {C}}^{{n}}$$

Uniqueness of some Calabi–Yau metrics on $${\mathbf {C}}^{{n}}$$
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$${mathbf {C}}^{{n}}$$ 上一些 CalabiâYau 指标的独特性

DOI:
10.1007/s00039-020-00543-3
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发表时间:
2020
影响因子:
2.2
通讯作者:
Székelyhidi, Gábor
Székelyhidi, Gábor
中科院分区:
数学1区
文献类型:
--
作者:
Székelyhidi, Gábor

文献摘要

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We consider the Calabi–Yau metrics onconstructed recently by Yang Li, Conlon–Rochon, and the author, that have tangent coneat infinity for the-dimensional Stenzel cone. We show that up to scaling and isometry this Calabi–Yau metric onis unique. We also discuss possible generalizations to other manifolds and tangent cones.