2026-08-20T02:05:11Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/438372023-08-27T13:34:58Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Castrillón López, Marco
author
Muñoz Masqué, Jaime
author
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
Total Curvature of Curves in Riemannian Manifolds
journal article
URL
https://docta.ucm.es/bitstreams/3cc30fb5-b7bf-406c-b579-eef981faf0d1/download
File
MD5
873e69b694c65eb35ec85ac307d596bb
217828
application/pdf
total-castrillon.pdf