Über Zindler-Kurven in euklidischen Räumen

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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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 languageGerman
Pages (from-to)217-220
Number of pages4
JournalManuscripta Mathematica
Volume60
Issue number2
DOIs
StatePublished - Jun 1 1988

ASJC Scopus subject areas

  • Mathematics(all)

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