Über Zindler-Kurven in euklidischen Räumen

Helmut Pottmann

doi:10.1007/BF01161931

Über Zindler-Kurven in euklidischen Räumen

Helmut Pottmann^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Zindler-curves in Euclidean plane ℝ² are closed curves with a one-parametric set of congruent "main chords" which bisect both the length and the enclosed area of the curve. Related curves z ⊂ ℝⁿ have been studied by J.Hoschek [2], [3] (in the case n=3) and B.Wegner [8] (for arbitrary n≥2). In this note we generalize the results on Zindler-curves in ℝⁿ. These curves can simply be generated since the midpoints of the main chords are situated on the striction curve of the main chord-surface.

Original language	German
Pages (from-to)	217-220
Number of pages	4
Journal	Manuscripta Mathematica
Volume	60
Issue number	2
DOIs	https://doi.org/10.1007/BF01161931
State	Published - Jun 1988
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01161931

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Über Zindler-Kurven in euklidischen Räumen

Abstract

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