Institute for Mathematical Physics Local Geometry of Singular Real Analytic Surfaces Local Geometry of Singular Real Analytic Surfaces

Abstract

Let V R N be a compact real analytic surface with isolated singularities, and assume its smooth part V0 is equipped with a Riemannian metric that is induced from some analytic Riemannian metric on R N. We prove: 1. Each point of V has a neighborhood which is quasi-isometric (naturally and 'almost isometrically') to a union of metric cones and horns, glued… (More)

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