- Mathematics
- Published 1999
DOI:10.1090/S0002-9947-02-03168-9

# Local Geometry of Singular Real Analytic Surfaces

@inproceedings{Grieser1999LocalGO, title={Local Geometry of Singular Real Analytic Surfaces}, author={Daniel Grieser}, year={1999} }

Let V be a compact real analytic surface with isolated singularities embedded in $R^N$, and assume its smooth part 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 at their tips.
2. A full asymptotic expansion, for any $p\in V$, of the length of $V\cap\{q:\dist(q,p)=r\}$ as r tends to zero… CONTINUE READING

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