A systolic inequality with remainder in the real projective plane
Differential Geometry
2020-07-30 v1
Abstract
The first paper in systolic geometry was published by Loewner's student P. M. Pu over half a century ago. Pu proved an inequality relating the systole and the area of an arbitrary metric on the real projective plane. We prove a stronger version of Pu's systolic inequality with a remainder term.
Cite
@article{arxiv.2007.14664,
title = {A systolic inequality with remainder in the real projective plane},
author = {Mikhail G. Katz and Tahl Nowik},
journal= {arXiv preprint arXiv:2007.14664},
year = {2020}
}
Comments
5 pages, to appear in Open Mathematics