Sven Bergmann
(Difference between revisions)
PS: Do you know how to get smoothly from A to B? Well, you just need to minimize the functional expression $\tilde {\cal S}[y(x)] \equiv \int_{x_i}^{x_f} \left(\kappa[y(x)]\right)^\nu \, ds(x) = \int_{x_i}^{x_f} {|y(x)|^\nu \over \left[1+y'(x)^2\right]^{3\nu-1 \over 2}} \,dx$
It turns out that it is possible to find analytically the most general solution $y(x)$, see this [paper] for details.