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math.MG2013★ 2 cited
Moderate smoothness of most Alexandrov surfaces
Jin-ichi Itoh, Joel Rouyer, Costin Vilcu
We show that, in the sense of Baire category, most Alexandrov surfaces with curvature bounded below by have no conical points. We use this result to prove that at most points o…
math.MG2013
On the Theorem of the Three Perpendiculars
Jin-ichi Itoh, Joel Rouyer, Costin Vilcu
We show that the theorem of the three perpendiculars holds in any n-dimensional space form.