Abstract
We consider properties of the total absolute geodesic curvature functional on circle immersions into a Riemann surface. In particular, we study its behavior under regular homotopies, its infima in regular homotopy classes, and the homotopy types of spaces of its local minima.
Citation
Tobias Ekholm. "Regular homotopy and total curvature I: circle immersions into surfaces." Algebr. Geom. Topol. 6 (1) 459 - 492, 2006. https://doi.org/10.2140/agt.2006.6.459
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