Creutz, Paul (2020). MAJORIZATION BY HEMISPHERES AND QUADRATIC ISOPERIMETRIC CONSTANTS. Trans. Am. Math. Soc., 373 (3). S. 1577 - 1597. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850
Full text not available from this repository.Abstract
Let X be a Banach space or more generally a complete metric space admitting a conical geodesic bicombing. We prove that every closed L-Lipschitz curve gamma : S-1 -> X may be extended to an L-Lipschitz map defined on the hemisphere f : H-2 -> X. This implies that X satisfies a quadratic isoperimetric inequality (for curves) with constant 1/2 pi. We discuss how this fact controls the regularity of minimal discs in Finsler manifolds when applied to the work of Alexander Lytchak and Stefan Wenger.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-343082 | ||||||||
| DOI: | 10.1090/tran/7827 | ||||||||
| Journal or Publication Title: | Trans. Am. Math. Soc. | ||||||||
| Volume: | 373 | ||||||||
| Number: | 3 | ||||||||
| Page Range: | S. 1577 - 1597 | ||||||||
| Date: | 2020 | ||||||||
| Publisher: | AMER MATHEMATICAL SOC | ||||||||
| Place of Publication: | PROVIDENCE | ||||||||
| ISSN: | 1088-6850 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/34308 |
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