Article ID Journal Published Year Pages File Type
4605974 Differential Geometry and its Applications 2014 11 Pages PDF
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
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