A systolic inequality with remainder in the real projective plane

Autor: Katz, Mikhail G., Nowik, Tahl
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1515/math-2020-0050
Popis: 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.
Comment: 5 pages, to appear in Open Mathematics
Databáze: arXiv