The converse of the four vertex theorem

The converse of the four vertex theorem
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by Björn E. J. Dahlberg PDF

Proc. Amer. Math. Soc. 133 (2005), 2131-2135 Request permission

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

References

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Additional Information

Björn E. J. Dahlberg
Affiliation: Department of Mathematics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
Received by editor(s): March 10, 2003
Received by editor(s) in revised form: March 29, 2004
Published electronically: January 31, 2005
Additional Notes: The author was supported by a grant from the NFR, Sweden.
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
Communicated by: Ronald A. Fintushel
Journal: Proc. Amer. Math. Soc. 133 (2005), 2131-2135
MSC (2000): Primary 53A04
DOI: https://doi.org/10.1090/S0002-9939-05-07788-9
MathSciNet review: 2137880