Document JFM 57.0966.03

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Sur les hypercirconférences et certaines surfaces paraboliques dans l’espace euclidien à quatre dimensions. (French) JFM 57.0966.03

C. R. 193, 633-634 (1931).

Es handelt sich um ein Analogon zu den Schraubenlinien des dreidimensionalen euklidischen Raumes: um Kurven des vierdimensionalen Raumes mit drei konstanten und nicht verschwindenden Differentialinvarianten (erster, zweiter und dritter Krümmung). Zunächst werden einige ihrer Symmetrieund Automorphieeigenschaften angeführt, sodann begleitende Regelflächen – “assoziierte Flächen” – näher untersucht.

Reviewer: Pinl, M., Dr. (Prag)

Cited in 1 Document

JFM Section:

Erster Halbband. Fünfter Abschnitt. Geometrie. Kapitel 6. Differentialgeometrie. C. Differentialgeometrie in mehrdimensionalen und allgemeinen Räumen.

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