H\"ormander's condition for normal bundles on spaces of immersions

Book, Preprint, Other literature type English OPEN
Modin, Klas; Sommer, Stefan;
  • Publisher: Zenodo
  • 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
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