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Sextactic points on a simple closed curve

Published online by Cambridge University Press:  22 January 2016

Gudlaugur Thorbergsson  and
Masaaki Umehara
Gudlaugur Thorbergsson
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86-90 50931 Köln, Germany, gthorbergsson@mi.uni-koeln.de
Masaaki Umehara
Affiliation:
Department of Mathematics, Graduate School of Science Hiroshima University, Higashi-Hiroshima, 739-8526, Japan, umehara@math.sci.hiroshima-u.ac.jp
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Abstract

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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.

Keywords

53A1551L1553C7553A25
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 167 , 2002 , pp. 55 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2002

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