A COMPACTNESS THEOREM FOR SURFACES WITH BOUNDED INTEGRAL CURVATURE-Reference-Cited by-同舟云学术

A COMPACTNESS THEOREM FOR SURFACES WITH BOUNDED INTEGRAL CURVATURE

Published:2018-04-10 Issue:2 Volume:19 Page:597-645
ISSN:1474-7480
Container-title:Journal of the Institute of Mathematics of Jussieu
language:en
Short-container-title:J. Inst. Math. Jussieu

Author:

Debin Clément

Abstract

We prove a compactness theorem for metrics with bounded integral curvature on a fixed closed surface

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. As a corollary we obtain a new convergence result for sequences of metrics with conical singularities, where an accumulation of singularities is allowed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

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4. The limit spaces of two-dimensional manifolds with uniformly bounded integral curvature

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