Full text | |
Author(s): |
Abbondandolo, Alberto
[1]
;
Bramham, Barney
[1]
;
Hryniewicz, Umberto L.
[2]
;
Salomao, Pedro A. S.
[3]
Total Authors: 4
|
Affiliation: | [1] Ruhr Univ Bochum, Fac Math, Bochum - Germany
[2] Rhein Westfal TH Aachen, Jakobstr 2, D-52064 Aachen - Germany
[3] Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
Total Affiliations: 3
|
Document type: | Journal article |
Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 374, n. 3, p. 1815-1845, MAR 2021. |
Web of Science Citations: | 0 |
Abstract | |
We prove that the systolic ratio of a sphere of revolution S does not exceed pi and equals pi if and only if S is Zoll. More generally, we consider the rotationally symmetric Finsler metrics on a sphere of revolution which are defined by shifting the tangent unit circles by a Killing vector field. We prove that in this class of metrics the systolic ratio does not exceed pi and equals pi if and only if the metric is Riemannian and Zoll. (AU) | |
FAPESP's process: | 17/26620-6 - Systolic inequalities for Reeb flows in dimension 3 |
Grantee: | Pedro Antonio Santoro Salomão |
Support Opportunities: | Scholarships abroad - Research |