Creutz, Paul (2022). Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces. Rev. Mat. Iberoam., 38 (3). S. 705 - 730. BERLIN: EUROPEAN MATHEMATICAL SOC-EMS. ISSN 0213-2230
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DOI:10.4171/RMI/1309
Abstract
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are not closed geodesics. As applications we show rigidity of Pu's classical systolic inequality and investigate the isoperimetric constants of normed spaces. The latter has further applications concerning the regularity of minimal surfaces in Finsler manifolds.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-661315 | ||||||||
| DOI: | 10.4171/RMI/1309 | ||||||||
| Journal or Publication Title: | Rev. Mat. Iberoam. | ||||||||
| Volume: | 38 | ||||||||
| Number: | 3 | ||||||||
| Page Range: | S. 705 - 730 | ||||||||
| Date: | 2022 | ||||||||
| Publisher: | EUROPEAN MATHEMATICAL SOC-EMS | ||||||||
| Place of Publication: | BERLIN | ||||||||
| ISSN: | 0213-2230 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/66131 |
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