A compactness theorem for Alexandrov surfaces with bounded integral curvature.
2016-04-13 16:30 - 17:30 | CM010
Clément Debin
Until 1970, Alexandrov and his student Reshetnyak have developed a very rich theory of singular surfaces, which includes the smooth riemannian metrics, as well as metrics with conical singularities. We adapt the proof of the classical Cheeger-Gromov compactness theorem to this setting; as a corollary, we obtain a compactification of the space of metrics with conical singularities on a fixed surface.
