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00925njm 22002777a 4500 dc Castrillón López, Marco author Muñoz Masqué, Jaime author Fernández Mateos, Victor author 2010 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. 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 Total Curvature of Curves in Riemannian Manifolds