Closed geodesics on doubled polygons
IM Adelstein, AYW Fong - Involve, a Journal of Mathematics, 2019 - msp.org
We study 1∕ k-geodesics, those closed geodesics that minimize on any subinterval of
length L∕ k, where L is the length of the geodesic. We investigate the existence and …
length L∕ k, where L is the length of the geodesic. We investigate the existence and …
Geodesic nets on flat spheres
I Adelstein, E Fromm, R Nelakanti, F Roth… - arXiv preprint arXiv …, 2022 - arxiv.org
We consider geodesic nets (critical points of a length functional on the space of embedded
graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from …
graphs) on doubled polygons (topological 2-spheres endowed with a flat metric away from …
a journal of mathematics
I Adelstein, AYW Fong - projecteuclid.org
A geodesic in a metric space M is a locally length-minimizing curve. Some metric spaces
admit closed geodesics, WS 1! M, which can be viewed as maps from the circle S 1 D Œ0; 2 …
admit closed geodesics, WS 1! M, which can be viewed as maps from the circle S 1 D Œ0; 2 …