On the total curvature of minimizing geodesics on convex surfaces
Differential Geometry
2019-01-08 v3 Metric Geometry
Abstract
We give a universal upper bound for the total curvature of minimizing geodesic on a convex surface in the Euclidean space.
Cite
@article{arxiv.1511.07911,
title = {On the total curvature of minimizing geodesics on convex surfaces},
author = {Nina Lebedeva and Anton Petrunin},
journal= {arXiv preprint arXiv:1511.07911},
year = {2019}
}
Comments
English/Russian 18/19 pages 4 figures