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Loewner's "forgotten" theorem

Let $f(t)$ be a smooth and periodic function of one real variable. Then the planar curves $t\mapsto \big(f'(t),f(t)\big)$ and $t\mapsto \big(f''(t)-f(t),f'(t)\big)$ both have non-negative rotation number around every point not on the curve. These are the two simplest cases of a b...

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Bibliographische Detailangaben
Hauptverfasser: Albers, Peter (VerfasserIn) , Tabachnikov, Serge (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 7 Sep 2021
In: Arxiv
Year: 2021, Pages: 1-10
DOI:10.48550/arXiv.2109.03051
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2109.03051
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2109.03051
Volltext
Verfasserangaben:Peter Albers, Serge Tabachnikov

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