Proceedings of Math On The Rocks Shape Analysis Workshop in Grundsund

Book, Preprint OPEN
Modin, Klas; Sommer, Stefan;
(2015)
  • Publisher: Chalmers tekniska högskola
  • 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 (8)

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    [7] Peter W. Michor. Topics in differential geometry, volume 93. American Mathematical Soc., 2008.

    [8] Ju¨rgen Moser. On the volume elements on a manifold. Trans. Amer. Math. Soc., 120:286-294, 1965.

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