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arXiv · 1605.07755

A compactness theorem for surfaces with Bounded Integral Curvature

Clément Debin
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Abstract

We prove a compactness theorem for metrics with Bounded Integral Curvature on a fixed closed surface $\Sigma$. As a corollary, we obtain a compactification of the space of Riemannian metrics with conical singularities, where an accumulation of singularities is allowed.

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Clément Debin. 2016-05-25. A compactness theorem for surfaces with Bounded Integral Curvature. https://arxiv.org/abs/1605.07755

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