Question

to account for the sigll iu EXERCISE 1.78. For c0, consider the dilation map de : Rn defined as ddp-cp. Ify: 1-+ Rn is a regular curve and γ d o are the curvature functions of γ and γ related? In the case n = 3, how are the torsion functions related? In the case n 2, how are the signed curv functions related? Would any of these answers change if c<0?

Answer 1

observe that γ8-dere- c1(t) thus K 2 ○here denotes urvatureo r Also torsion c て gned curvature remauns same signed curvature reverses- 61 also