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arXiv · 2007.14664

A systolic inequality with remainder in the real projective plane

Mikhail G. Katz·Tahl Nowik
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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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Mikhail G. Katz, Tahl Nowik. 2020-07-29. A systolic inequality with remainder in the real projective plane. https://doi.org/10.1515/math-2020-0050

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