A compactness theorem for surfaces with Bounded Integral Curvature
Differential Geometry
2016-10-20 v3 Metric Geometry
Abstract
We prove a compactness theorem for metrics with Bounded Integral Curvature on a fixed closed surface . As a corollary, we obtain a compactification of the space of Riemannian metrics with conical singularities, where an accumulation of singularities is allowed.
Cite
@article{arxiv.1605.07755,
title = {A compactness theorem for surfaces with Bounded Integral Curvature},
author = {Clément Debin},
journal= {arXiv preprint arXiv:1605.07755},
year = {2016}
}