RT Journal Article
T1 Total Curvature of Curves in Riemannian Manifolds
A1 Castrillón López, Marco
A1 Muñoz Masqué, Jaime
A1 Fernández Mateos, Victor
AB 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.
PB Springer-Verlag
SN 0926-2245
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/43837
UL https://hdl.handle.net/20.500.14352/43837
LA eng
DS Docta Complutense
RD 4 abr 2025