Diameters of Ball Intersections
Differential Geometry
2019-09-20 v2 Metric Geometry
Abstract
We prove the diameter of the intersection of two closed convex balls in a Riemannian manifold eventually decreases continuously as the centers of the balls move apart.
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Cite
@article{arxiv.1905.07349,
title = {Diameters of Ball Intersections},
author = {Meera Mainkar and Benjamin Schmidt},
journal= {arXiv preprint arXiv:1905.07349},
year = {2019}
}
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13 pages