Document JFM 53.0695.05

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Contact de deux courbes dans une \(V_n\). (French) JFM 53.0695.05

Rendiconti Accad. d. L. Roma (6) 5, 415-420 (1927).

Mit denselben Mitteln wie in der vorbesprochenen Note wird die Berührung von Kurven im Raume von Riemann behandelt. U. a. wird die “Relativkrümmung” zweier einander in \(r\)-ter Ordnung berührender Kurven für \(r = 1\), 2, 3 aufgestellt. Ferner werden Invarianten hergeleitet, die beim Wechsel der Metrik — unter Voraussetzung, daß dabei die Normalkoordinaten in ebensolche übergehen — ihren Wert nicht ändern.

Reviewer: Radon, J., Prof. (Breslau)

JFM Section:

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

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