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Autor Fernández Mateos, Victor |
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Aguirre Dabán, Eduardo ; Fernández Mateos, Victor ; Lafuente López, Javier | Real Sociedad Matemática Española | 2007Let M be a connected manifold and let g be a symmetric covariant tensor field of order 2 on M. Assume that the set of points where g degenerates is not empty. If U is a coordinate system around p 2 , then g is a transverse type-changing metric [...]texto impreso
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 ins[...]