Reverse isoperimetric inequality in two-dimensional Alexandrov spaces

Borisenko, Alexander

doi:10.1090/proc/13541

Reverse isoperimetric inequality in two-dimensional Alexandrov spaces
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Proc. Amer. Math. Soc. 145 (2017), 4465-4471 Request permission

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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