Sextactic points on a simple closed curve

Details Sextactic points on a simple closed curve Sextactic points on a simple closed curve

2000-08-17

arxiv.org/abs/math/0008137v2

Mathematics

Differential Geometry

31pages, TeX

Scientific paper

We give optimal lower bounds for the number of sextactic points on a simple
closed curve in the real projective plane. Sextactic points are after
inflection points the simplest projectively invariant singularities on such
curves. Our method is axiomatic and can be applied in other situations.

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