Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 62, No. 3, pp. 269-288 (2005)

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Curve shortening and the four-vertex theorem

Bernd Süssmann

Robert Bosch GmbH,
Postfach 300220, 70442 Stuttgart -- GERMANY

Abstract: This paper shows how the four-vertex theorem, a famous theorem in differential geometry, can be proven by using curve shortening.

Keywords: four-vertex theorem; curve shortening.

Classification (MSC2000): 53A04, 53A35, 53C44.

Full text of the article:

Electronic version published on: 7 Mar 2008.

© 2005 Sociedade Portuguesa de Matemática
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