A systolic inequality with remainder in the real projective plane

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 in the real projective plane. We prove a stronger version of Pu’s systolic inequality with a remainder term.

Bibliographic Details
Main Authors: Katz Mikhail G., Nowik Tahl
Format: Article
Language:English
Published: De Gruyter 2020-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0050