Über Böschungslinien im dreidimensionalen elliptischen Raum

Translated title of the contribution: Curves of constant slope in elliptic 3-space

Helmut Pottmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In accordance with H. R. Müller [3] we understand under a curve of constant slope in the elliptic 3-space an isogonal trajectory of the generators of an arbitrary Clifford cylinder. Using linegeometric methods in a special projective model, we study in particular those curves of constant slope, whose tangents form also a constant angle with a fixed plane. Thereby we meet with well-known classes of curves in the Euclidean space, such as spherical involutoids and tractrices of circles and loxodromes on a torus.

Translated title of the contributionCurves of constant slope in elliptic 3-space
Original languageGerman
Pages (from-to)315-320
Number of pages6
JournalMonatshefte für Mathematik
Volume99
Issue number4
DOIs
StatePublished - Dec 1 1985

ASJC Scopus subject areas

  • Mathematics(all)

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