A systolic inequality with remainder in the real projective plane

Autor: Katz Mikhail G., Nowik Tahl
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Open Mathematics, Vol 18, Iss 1, Pp 902-906 (2020)
Druh dokumentu: article
ISSN: 2391-5455
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 in the real projective plane. We prove a stronger version of Pu’s systolic inequality with a remainder term.
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