Minimal surface singularities are Lipschitz normally embedded

Minimal surface singularities are Lipschitz normally embedded

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...

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Veröffentlicht in:arXiv.org 2018-08
Hauptverfasser: Neumann, Walter D, Pedersen, Helge Møller, Pichon, Anne
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Mathematics - Algebraic Geometry
Minimal surfaces
Singularities
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description 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.
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Minimal surfaces
Singularities
title Minimal surface singularities are Lipschitz normally embedded
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