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math.DG2022★ 4 cited
Differential geometry of space curves: Forgotten chapters
Dmitry Fuchs, Ivan Izmestiev, Matteo Raffaelli +2
We study evolutes and involutes of space curves. Although much of the material presented is not new and can be found in classic treatises, we believe that a modern and unified trea…
math.DG2022
Classification of rank-one submanifolds
Matteo Raffaelli
We study ruled submanifolds of Euclidean space. First, to each (parametrized) ruled submanifold , we associate an integer-valued function, called degree, measuring the extent to…