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.
Umehara, A simplification of the proof of Bol’s conjecture on sextactic points, Proceedings of the Japan Academy, Series A, Mathematical Sciences87(2011), 10–12
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.