Classification of Punctures on Complete Flat Surfaces
| dc.contributor.author | Sağlam, İsmail | |
| dc.date.accessioned | 2025-01-06T17:30:25Z | |
| dc.date.available | 2025-01-06T17:30:25Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We investigate the behavior of a complete flat metric on a surface near a puncture. We call a puncture on a flat surface regular if it has a neighborhood which is isometric to that of a point at infinity of a cone. We prove that there are punctures which are not regular if and only if the curvature at the puncture is 4?. We classify irregular punctures of a flat surface up to modification equivalence, where two punctures are called modification-equivalent if they have isometric neighborhoods. We show that there are uncountably many modification-equivalence classes of punctures on flat surfaces. © 2021 | |
| dc.description.sponsorship | Research Fund of Adana Alparslan Türkes¸ Science and Technology University, (18119001); Research Fund of Adana Alparslan Türkeş Science and Technology University | |
| dc.identifier.doi | 10.36890/IEJG.784598 | |
| dc.identifier.endpage | 276 | |
| dc.identifier.issn | 1307-5624 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85117960126 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 266 | |
| dc.identifier.trdizinid | 504069 | |
| dc.identifier.uri | https://doi.org/10.36890/IEJG.784598 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/504069 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14669/1604 | |
| dc.identifier.volume | 14 | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | DergiPark | |
| dc.relation.ispartof | International Electronic Journal of Geometry | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241211 | |
| dc.subject | conical singularities | |
| dc.subject | Flat surface | |
| dc.subject | irregular puncture | |
| dc.subject | regular puncture | |
| dc.title | Classification of Punctures on Complete Flat Surfaces | |
| dc.type | Article |
