Long geodesics on convex surfaces

Published 16 Feb 2017 in math.DG and math.HO | (1702.05172v2)

Abstract: We review the theory of intrinsic geometry of convex surfaces in the Euclidean space and prove the following theorem: if the surface of a convex body K contains arbitrary long closed simple geodesics, then K is an isosceles tetrahedron.

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