Question

+4.31. Let a(s) be a unit speed curve with kt = 0. Prove there is a curve

Answer 1

Answer:

It is proved

Step-by-step explanation:

A curve immersed in the three-dimensional sphere is said to be a Bertrand curve if there exists another curve and a one-to-one correspondence between and such that both curves have common principal normal geodesics at corresponding points.

See attachment for the step by step solution of the given problem.