Moderate smoothness of most Alexandrov surfaces

DOI10.1142/S0129167X15400042zbMath1325.53093arXiv1308.3862MaRDI QIDQ5256447

Costin Vîlcu, Jin-ichi Itoh, Joël Rouyer

Publication date: 17 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3862

zbMATH Keywords

metric spaceGaussian curvatureBaire categoryAlexandrov surfaceAlexandrov's upper and lower curvaturesMachigashira's upper and lower curvatures

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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Hyperbolization of cusps with convex boundary ⋮ On conformal planes of finite area ⋮ Simple Closed Geodesics on Regular Tetrahedra in Spaces of Constant Curvature ⋮ Canonical smoothing of compact Alexandrov surfaces via Ricci flow ⋮ Farthest points on most Alexandrov surfaces ⋮ Simple closed geodesics on most Alexandrov surfaces

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