This article is cited in 1 paper

Double canal hypersurfaces in the Euclidean space $E^n$

M. A. Cheshkova

Altai State University

Abstract: A multidimensional analogue of the cyclides of Dupin is considered: double canal hypersurfaces. A generalization is proved of the theorem about the set of centres $C_1$ and $C_2$ of the generating hyperspheres.

UDC: 514.75

MSC: Primary 53A07; Secondary 53C05

Received: 24.04.2000

DOI: 10.4213/sm488

 English version: Sbornik: Mathematics, 2000, 191:6, 937–943

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