The equi-affine and Frenet curvatures of curves in pseudo-Riemannian 2-manifolds
Volume 150 / 2017
Colloquium Mathematicum 150 (2017), 103-112
MSC: Primary 53C42; Secondary 53B05, 53B30, 53C50.
DOI: 10.4064/cm7167s-3-2017
Published online: 24 August 2017
Abstract
For an arbitrary nondegenerate curve in a pseudo-Riemannian (including Riemannian) 2-manifold, we express the equi-affine curvature with the help of the Frenet (geodesic) curvature of this curve.
