Castrillón López, MarcoMuñoz Masqué, JaimeFernández Mateos, Victor2023-06-202023-06-2020100926-224510.1016/j.difgeo.2009.10.008https://hdl.handle.net/20.500.14352/43837The 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.engjournal articlehttp://www.sciencedirect.com/science/journal/09262245http://www.springerlink.comrestricted access514.762Geodesic PolygonTotal CurvatureRiemannian ManifoldGeometría diferencial1204.04 Geometría Diferencial