A simplification of the proof of Bol’s conjecture on sextactic points
Umehara, Masaaki
Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, p. 10-12 / Harvested from Project Euclid
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In a previous work with Thorbergsson, it was proved that a simple closed curve in the real projective plane $\mathbf{P}^{2}$ that is not null-homotopic has at least three sextactic points. This assertion was conjectured by Gerrit Bol. That proof used an axiomatic approach called ‘intrinsic conic system’. The purpose of this paper is to give a more elementary proof.
Publié le : 2011-01-15
Classification:  Sextactic points,  affine curvature,  inflection points,  affine evolute,  53A20,  53C75 
@article{1293500472,
     author = {Umehara, Masaaki},
     title = {A simplification of the proof of Bol's conjecture on sextactic points},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {87},
     number = {1},
     year = {2011},
     pages = { 10-12},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1293500472}
}

Umehara, Masaaki. A simplification of the proof of Bol’s conjecture on sextactic points. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp.  10-12. http://gdmltest.u-ga.fr/item/1293500472/