2 papers
math.OC2022
Sub-Lorentzian distance and spheres on the Heisenberg group
Yu. L. Sachkov, E. F. Sachkova
The left-invariant sub-Lorentzian problem on the Heisenberg group is considered. An optimal synthesis is constructed, the sub-Lorentzian distance and spheres are described.
math.OC2013
Exponential mapping in Euler's elastic problem
Yuri Sachkov, Elena Sachkova
The classical Euler's problem on optimal configurations of elastic rod in the plane with fixed endpoints and tangents at the endpoints is considered. The global structure of the ex…