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.
Sulanke, The fundamental theorem for curves in then-dimensional Euclidean space, 2020, https://www2.mathematik.hu-berlin.de/~sulanke/diffgeo/euklid/ECTh.pdf
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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.