FB04 Mathematics · Offered in WiSe 2025/26
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Kurven: Bogenlänge, Krümmung; globale Kurventheorie, z.B. Umlaufsatz. Flächentheorie: Fundamentalformen, Weingarten-Abbildung, Hauptkrümmungen, Gauß- und mittlere Krümmung. Hyperflächengleichungen, Geodätische, Parallelverschiebung, Satz von Gauß-Bonnet. Themen der diskreten Differentialgeometrie: z.B. Krümmungsbegriffe für polygonale Kurven und polyedrische Flächen; Bézierkurven und -flächen.
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