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Improvements of upper curvature bounds

2019/10/11 by Lytchak, Alexander, Stadler, Stephan
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1910.05287

Abstract

We show that any space with a positive upper curvature bound has in a small neighborhood of any point a closely related metric with a negative upper curvature bound.

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