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Flat surfaces with singularities in Euclidean 3-space

Flat surfaces with singularities in Euclidean 3-space

It is classically known that complete flat (that is, zero Gaussian curvature) surfaces in Euclidean 3-space R 3 are cylinders over space curves.This implies that the study of global behaviour of flat surfaces requires the study of singular points as well.If a flat surface f admits singularities but its Gauss …