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The converse of the four vertex theorem

Björn E. J. Dahlberg (Institutionen för matematiska vetenskaper)
Proceedings of the American Mathematical Society (0002-9939). Vol. 133 (2005), 7, p. 2131-2135.
[Artikel, refereegranskad vetenskaplig]

We establish the converse to the four vertex theorem without the positivity condition.

Nyckelord: four vertex theorem, curvature function, simple and closed curve.


Björn Dahlberg died on the 30th of January 1998. The results of this paper appeared in his posthumous work. The final version was prepared by Vilhelm Adolfsson and Peter Kumlin, Department of Mathematics, Chalmers University of Technology and Göteborg University, SE-412 96 Göteborg, Sweden; email: vilhelm@math.chalmers.se The author was supported by a grant from the NFR, Sweden. A survey article on the subject area can be found at: http://www.ams.org/notices/200702/fea-gluck.pdf



Denna post skapades 2010-02-16. Senast ändrad 2010-02-24.
CPL Pubid: 112569

 

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