Proceedings of Math On The Rocks Shape Analysis Workshop in Grundsund

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Bauer, Martin; Harms, Philipp;
(2015)
  • Related identifiers: doi: 10.5281/zenodo.33558
  • Subject: 58D10 (Primary), 53C17 (Secondary) | 58D17 (Primary), 58E30, 35A01 (Secondary) | Mathematics - Differential Geometry

We study metrics on the shape space of curves that induce a prescribed splitting of the tangent bundle. More specifically, we consider reparametrization invariant metrics $G$ on the space $\operatorname{Imm}(S^1,\mathbb R^2)$ of parametrized regular curves. For many met... View more
  • References (15)
    15 references, page 1 of 2

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    [10] Stephen C. Preston. The motion of whips and chains. J. Differential Equations, 251(3):504-550, 2011.

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