Complete flat cone metrics on punctured surfaces
| dc.contributor.author | Saglam, Ismail | |
| dc.date.accessioned | 2025-01-06T17:37:54Z | |
| dc.date.available | 2025-01-06T17:37:54Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We prove that each complete flat cone metric on a surface with regular or irregular punctures can be triangulated with finitely many types of triangles. We derive the Gauss-Bonnet formula for this kind of cone metrics. In addition, we prove that each free homotopy class of paths has a geodesic representative. | |
| dc.identifier.doi | 10.3906/mat-1806-23 | |
| dc.identifier.endpage | 832 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85064173419 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 813 | |
| dc.identifier.trdizinid | 335636 | |
| dc.identifier.uri | https://doi.org/10.3906/mat-1806-23 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/335636 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14669/2413 | |
| dc.identifier.volume | 43 | |
| dc.identifier.wos | WOS:000462461500018 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Tubitak Scientific & Technological Research Council Turkey | |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241211 | |
| dc.subject | Flat metric | |
| dc.subject | the Gauss-Bonnet formula | |
| dc.subject | surfaces with punctures | |
| dc.subject | the Hopf-Rinow theorem | |
| dc.title | Complete flat cone metrics on punctured surfaces | |
| dc.type | Article |
