Mathematics > Algebraic Geometry
[Submitted on 11 Mar 2015 (v1), last revised 2 Aug 2018 (this version, v2)]
Title:Minimal surface singularities are Lipschitz normally embedded
View PDFAbstract:Any germ of a complex analytic space is equipped with two natural metrics: the {\it outer metric} induced by the hermitian metric of the ambient space and the {\it inner metric}, which is the associated riemannian metric on the germ. We show that minimal surface singularities are Lipschitz normally embedded (LNE), i.e., the identity map is a bilipschitz homeomorphism between outer and inner metrics, and that they are the only rational surface singularities with this property.
Submission history
From: Walter D. Neumann [view email][v1] Wed, 11 Mar 2015 12:38:06 UTC (28 KB)
[v2] Thu, 2 Aug 2018 18:22:27 UTC (45 KB)
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