Abstract
In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we found that the isoperimetric extremals of the rotations in the Euclidian plane are straight lines.
Information
Published: 1 January 2021
First available in Project Euclid: 2 June 2021
Digital Object Identifier: 10.7546/giq-22-2021-136-141
Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences