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Closed Planar Curves Without Inflections by Ohno, Shuntaro; Ozawa, Tetsuya; Umehara, Masaaki is a scholarly article available to read on EtoBox.

What is Closed Planar Curves Without Inflections about?

We define a computable topological invariant $\mu(\gamma)$ for generic closed planar regular curves $\gamma$, which gives an effective lower bound for the number of inflection points on a given generic closed planar curve. Using it, we classify the topological types of locally convex curves (i.e. closed planar regular curves without inflections) whose numbers of crossings are less than or equal to five. Moreover, we discuss the relationship between the number of double tangents and the invariant $\mu(\gamma)$ on a given $\gamma$.

Author

Ohno, Shuntaro; Ozawa, Tetsuya; Umehara, Masaaki

Published

2011

Language

EN