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math.GT2020
Oblivious points on translation surfaces
Ian Adelstein, Krish Desai, Anthony Ji +1
An oblivious point on a translation surface is a point with no closed geodesic passing through it. Nguyen, Pan, and Su (2017) showed that there are at most finitely many oblivious…
math.DG2020
The length of the shortest closed geodesic on positively curved 2-spheres
Ian Adelstein, Franco Vargas Pallete
We show that the shortest closed geodesic on a 2-sphere with non-negative curvature has length bounded above by three times the diameter. We prove a new isoperimetric inequality fo…