The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds

Abstract

For an arbitrary nondegenerate curve in a pseudo-Riemann\-ian (including Riemannian) 2-manifold, we express the equi-affine curvature with the help of the Frenet (geodesic) curvature of this curve.

10 pages

Cited by in corpus (1)

• The equi-affine curvatures of curves in 3-dimensional pseudo-Riemannian manifolds