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arXiv · 1709.02336

Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric

Fernando Galaz-Garcia·Luis Guijarro·Jesús Núñez-Zimbrón
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Abstract

We prove that sufficiently collapsed, closed and irreducible three-dimensional Alexandrov spaces are modeled on one of the eight three-dimensional Thurston geometries. This extends a result of Shioya and Yamaguchi, originally formulated for Riemannian manifolds, to the Alexandrov setting.

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Fernando Galaz-Garcia, Luis Guijarro, Jesús Núñez-Zimbrón. 2017-09-21. Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric. https://doi.org/10.1512/iumj.2020.69.7879

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