Differential Invariants of Surfaces

  title={Differential Invariants of Surfaces},
  author={Peter J. Olver},
The algebra of differential invariants of a suitably generic surface S ⊂ R, under either the usual Euclidean or equi-affine group actions, is shown to be generated, through invariant differentiation, by a single differential invariant. For Euclidean surfaces, the generating invariant is the mean curvature, and, as a consequence, the Gauss curvature can be… CONTINUE READING