Differential Geometry: Lecture 6 part 1: Frenet Serret Equations

Frenet Serret frame along a curve parametrized by arclength is defined. Frenet Serret Equations are proved for arclength parametrized curve. We examine helix example. Show planar curves have zero torsion and conversely vanishing torsion requires planarity. A proof that constant curvature, zero torsion is equivalent to circular motion is also given. In part 2 we study non-arclength parametrized curves. Orthonormality is the hero in this lecture.

[stearin]

7:35 May be I'm wrong, but B should be in the opposite direction. Or your cross product is defined "by left hand"?