The symmetry group of a curve preserves a plane

Robert Gulliver; Frank Morgan

doi:10.1090/S0002-9939-1982-0640242-2

The symmetry group of a curve preserves a plane

Robert Gulliver, Frank Morgan

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

2 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	408-411
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	84
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1982-0640242-2
State	Published - Mar 1982
Externally published	Yes

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10.1090/S0002-9939-1982-0640242-2

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abstract = "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.",

author = "Robert Gulliver and Frank Morgan",

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The symmetry group of a curve preserves a plane

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