A systolic inequality with remainder in the real projective plane

Mikhail G. Katz; Tahl Nowik

doi:10.1515/math-2020-0050

A systolic inequality with remainder in the real projective plane

Mikhail G. Katz, Tahl Nowik

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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

Original language	English
Pages (from-to)	902-906
Number of pages	5
Journal	Open Mathematics
Volume	18
Issue number	1
DOIs	https://doi.org/10.1515/math-2020-0050
State	Published - 1 Jan 2020

Keywords

Cauchy-Schwarz theorem
geometric inequality
iemannian submersion
probabilistic variance
systole

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1515/math-2020-0050

Cite this

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

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KW - systole

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A systolic inequality with remainder in the real projective plane

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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