2 papers
math.SG2025
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
Peter Albers, Gabriele Benedetti, Levin Maier
The subject of this article are magnetic geodesics on odd-dimensional spheres endowed with the round metric and with the magnetic potential given by the standard contact form. We c…
math.DG2023
An observation about conformal points on surfaces
Peter Albers, Gabriele Benedetti
We study the existence of points on a compact oriented surface at which a symmetric bilinear two-tensor field is conformal to a Riemannian metric. We give applications to the exist…