Equichordal Point Problem: Difference between revisions
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In [[convex geometry]], the '''equichordal point problem''' asks whether there exists a curve with two [[equichordal points]]. The problem was originally posed in 1916 by Fujiwara<ref name="Fujiwara">M. Fujiwara. Über die Mittelkurve zweier geschlossenen konvexen Curven in Bezug auf einen Punkt. Tôhoku Math J., 10:99–103, 1916</ref>, and solved by [[Marek Rychlik]] in 1996<ref name="The_Proof">[[Marek R. Rychlik]], A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck, [[Inventiones Mathematicae]], 1997, Volume 129, Number 1, Pages 141–212</ref>. The answer in the negative is the subject of [[Rychlik's theorem]]. |
In [[convex geometry]], the '''equichordal point problem''' asks whether there exists a [[convex curve]] with two [[equichordal points]]. The problem was originally posed in 1916 by Fujiwara<ref name="Fujiwara">M. Fujiwara. Über die Mittelkurve zweier geschlossenen konvexen Curven in Bezug auf einen Punkt. Tôhoku Math J., 10:99–103, 1916</ref>, and solved by [[Marek Rychlik]] in 1996<ref name="The_Proof">[[Marek R. Rychlik]], A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck, [[Inventiones Mathematicae]], 1997, Volume 129, Number 1, Pages 141–212</ref>. The answer in the negative is the subject of [[Rychlik's theorem]]. |
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== See also == |
== See also == |
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Revision as of 04:57, 26 November 2010
 | A major contributor to this article appears to have a close connection with its subject. (November 2010) |
In convex geometry, the equichordal point problem asks whether there exists a convex curve with two equichordal points. The problem was originally posed in 1916 by Fujiwara[1], and solved by Marek Rychlik in 1996[2]. The answer in the negative is the subject of Rychlik's theorem.
See also
References
- ^ M. Fujiwara. Über die Mittelkurve zweier geschlossenen konvexen Curven in Bezug auf einen Punkt. Tôhoku Math J., 10:99–103, 1916
- ^ Marek R. Rychlik, A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck, Inventiones Mathematicae, 1997, Volume 129, Number 1, Pages 141–212
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