Systematic criteria for finite-multiplicity singularities of curves in R^N up to multiplicity four, with generalized normalized and cuspidal curvatures reinterpreting Fukui's existence-uniqueness theorem.
Gluck, Higher Curvatures of Curves in Euclidean Space, The American Mathematical Monthly73(1966), 699–704
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Criteria and Curvatures for Singularities of Finite Multiplicities of Curves in $\boldsymbol{R}^N$
Systematic criteria for finite-multiplicity singularities of curves in R^N up to multiplicity four, with generalized normalized and cuspidal curvatures reinterpreting Fukui's existence-uniqueness theorem.