Relativistic mechanics of constant curvature
arXiv:2110.08225 · doi:10.1007/s10958-020-04951-6
Abstract
We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physically meaningful in the case of relativistic mechanics of particles.
23 pages, 4 figues, Dedicated to the bright memory of Vitalii Yakovych Skorobohat'ko, post-publication second proof