2026-08-22T00:37:47Zhttps://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

Total Curvature of Curves in Riemannian Manifolds Castrillón López, Marco Muñoz Masqué, Jaime Fernández Mateos, Victor 514.762 Geodesic Polygon Total Curvature Riemannian Manifold Geometría diferencial 1204.04 Geometría Diferencial 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas Instituto de Matemática Interdisciplinar (IMI) TRUE pub 2023-06-20T03:33:03Z 2023-06-20T03:33:03Z 2010 journal article https://hdl.handle.net/20.500.14352/43837 0926-2245 10.1016/j.difgeo.2009.10.008 eng restricted access application/pdf Springer-Verlag