Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605974 | Differential Geometry and its Applications | 2014 | 11 Pages |
Abstract
In this article, a complete and geometrical description of minimal sets of differential invariants in 2- and 3-dimensional Riemannian manifolds is given in terms of the dimension of the isometry group. These invariants provide a solution to the (local) problem of congruence of curves so that a final generalization of Frenet's theory in low dimensional manifolds is reached.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Castrillón López, J. Muñoz Masqué,