A Geometrical Characterization for the Affine Differential Invariants of a Space Curve

Abstract

The purpose of the present paper is to give a new geometrical construction for the following affine diferencial invariants of a space curve: geometrical elements associated to an ordinary point of a space curve; geometrical characterization of the affine fundamental trihedral of a space curve at an ordinary point; geometrical interpretation of the affine curvature and geometrical interpretation of the affine torsion