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Reverse isoperimetric inequality in two-dimensional Alexandrov spaces

Published 30 May 2016 in math.DG and math.MG | (1605.09150v1)

Abstract: We prove a reverse isoperimetric inequality for domains homeomorphic to a disc with the boundary of curvature bounded below lying in two-dimensional Alexandrov spaces of curvature $\geqslant c$. We also study the equality case.

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