The symmetry group of a curve preserves a plane

Robert Gulliver, Frank Morgan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


It is shown that the symmetries of a closed curve without self-intersections in euclidean or hyperbolic n-space have an invariant plane in common. This allows a complete characterization of the symmetry group.

Original languageEnglish (US)
Pages (from-to)408-411
Number of pages4
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - Mar 1982


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