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2002 Sextactic points on a simple closed curve
Gudlaugur Thorbergsson, Masaaki Umehara
Nagoya Math. J. 167: 55-94 (2002).

Abstract

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.

Citation

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Gudlaugur Thorbergsson. Masaaki Umehara. "Sextactic points on a simple closed curve." Nagoya Math. J. 167 55 - 94, 2002.

Information

Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1088.53049
MathSciNet: MR1924719

Subjects:
Primary: 53C75
Secondary: 51L15, 53A20, 58K15

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

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Vol.167 • 2002
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