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Reading Notes on Differential Geometry for Curves and Surfaces

Alexis Angelidis


This document contains reading notes on differential geometry for curves and surfaces, in the purpose of understanding the minimal information required to specify the smoothness of a surface at points only. The reconstruction of the surface from these points is not discussed. A surface is sometimes called smooth when it is mathematically $ C^2$, which sometimes does not make sense: a 'cube' with extremely small rounded edges shouldn't be called smooth.

Alexis Angelidis (PhD) 2004-02-09