A discrete version of Liouville’s theorem on conformal maps
| dc.contributor.author | Pinkall, Ulrich | |
| dc.contributor.author | Springborn, Boris | |
| dc.date.accessioned | 2021-12-15T09:57:35Z | |
| dc.date.available | 2021-12-15T09:57:35Z | |
| dc.date.issued | 2021-04-15 | |
| dc.description.abstract | Liouville’s theorem says that in dimension greater than two, all conformal maps are Möbius transformations. We prove an analogous statement about simplicial complexes, where two simplicial complexes are considered discretely conformally equivalent if they are combinatorially equivalent and the lengths of corresponding edges are related by scale factors associated with the vertices. | en |
| dc.description.sponsorship | DFG, 195170736, TRR 109: Diskretisierung in Geometrie und Dynamik | en |
| dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2021 | en |
| dc.identifier.eissn | 1572-9168 | |
| dc.identifier.issn | 0046-5755 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/14055 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-12828 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | conformal flatness | en |
| dc.subject.other | discrete conformal map | en |
| dc.subject.other | Möbius transformation | en |
| dc.title | A discrete version of Liouville’s theorem on conformal maps | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.1007/s10711-021-00621-2 | en |
| dcterms.bibliographicCitation.issue | 1 | en |
| dcterms.bibliographicCitation.journaltitle | Geometriae Dedicata | en |
| dcterms.bibliographicCitation.originalpublishername | Springer Nature | en |
| dcterms.bibliographicCitation.originalpublisherplace | Dordrecht [u.a.] | en |
| dcterms.bibliographicCitation.pageend | 398 | en |
| dcterms.bibliographicCitation.pagestart | 389 | en |
| dcterms.bibliographicCitation.volume | 214 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik::FG Differentialgeometrie | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.group | FG Differentialgeometrie | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
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