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 | |
| State | Published - 1 Jan 2020 |
Bibliographical note
Publisher Copyright:© 2020 Mikhail G. Katz and Tahl Nowik, published by De Gruyter 2020.
Keywords
- Cauchy-Schwarz theorem
- geometric inequality
- iemannian submersion
- probabilistic variance
- systole