A systolic inequality with remainder in the real projective plane

Published 29 Jul 2020 in math.DG | (2007.14664v1)

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.

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