Geodesic
Nondegenerate homotopy and geometric flows
Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 255-264.

Voir la notice de l'article provenant de la source International Press of Boston

Formulating geometric flows of space curves using quantities derived from the Frenet frame restricts the motion to one connected component of the space of locally convex curves. A new invariant quantity called tangent turning sign is proposed to determine the nondegenerate homotopy type of the initial curve and identify its possible shapes during the geometric flow.
DOI : 10.4310/HHA.2022.v24.n2.a12
Classification : 14H50, 53C44, 55P15
Keywords: locally convex curve, geometric flow, nondegenerate homotopy 
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Jiří Minarčík; Michal Beneš. Nondegenerate homotopy and geometric flows. Homology, homotopy, and applications, Tome 24 (2022) no. 2, pp. 255-264. doi : 10.4310/HHA.2022.v24.n2.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n2.a12/

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