Abstract
A curve c: I = [a, b] → ℝn is closed if there exists a curve c: ℝ→ℝn with the following properties: c | I = c and, for all t ∊ ℝ, c(t + ω) = c(t), where ω = b — a.
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© 1978 Springer Science+Business Media New York
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Klingenberg, W. (1978). Plane Curves: Global Theory. In: A Course in Differential Geometry. Graduate Texts in Mathematics, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9923-3_3
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DOI: https://doi.org/10.1007/978-1-4612-9923-3_3
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