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Gromov-Hausdorff convergence theory of surfaces

2020/08/31 by Jianxin, Sun, Zhou, Jie
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.00066

Abstract

In this paper, we use the viewpoint of Gromov-Haustorff convergence to give some new comprehension of well known theorem,it is Huber's classification theorem\citeHuber\citeMSfor complete Riemannian surfaces immersed in ℝn with finite total curvature( ∫Σ|A|2

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