2026-08-20T02:02:07Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/438372023-08-27T13:34:58Zcom_20.500.14352_14col_20.500.14352_15

Castrillón López, Marco Muñoz Masqué, Jaime Fernández Mateos, Victor 2023-06-20T03:33:03Z 2023-06-20T03:33:03Z 2010 0926-2245 10.1016/j.difgeo.2009.10.008 https://hdl.handle.net/20.500.14352/43837 http://www.sciencedirect.com/science/journal/09262245 http://www.springerlink.com The total curvature of C2 curves embedded in an arbitrary Riemannian manifold is shown to be the limit of the curvatures of inscribed geodesic polygons. The formula for the total curvature of a curve as the least upper bound of curvatures of inscribed geodesic polygons holds for a manifold of non-positive sectional curvature only. eng restricted access Total Curvature of Curves in Riemannian Manifolds journal article