A systolic inequality with remainder in the real projective plane
arXiv:2007.14664 · doi:10.1515/math-2020-0050
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.
5 pages, to appear in Open Mathematics