| dc.contributor.author |
Saglam, Ismail |
|
| dc.date.accessioned |
2022-03-04T07:51:27Z |
|
| dc.date.available |
2022-03-04T07:51:27Z |
|
| dc.date.issued |
2021-10 |
|
| dc.identifier.citation |
Sağlam, İ. (2021). Classification of Punctures on Complete Flat Surfaces . International Electronic Journal of Geometry , 14/2 , 266-276 . DOI: 10.36890/iejg.784598 |
tr_TR |
| dc.identifier.issn |
1307-5624 |
|
| dc.identifier.uri |
http://openacccess.atu.edu.tr:8080/xmlui/handle/123456789/3834 |
|
| dc.identifier.uri |
https://doi.org/10.36890/iejg.784598 |
|
| dc.description |
TR Dizin indeksli yayınlar koleksiyonu. / TR Dizin indexed publications collection. |
tr_TR |
| 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 4π. 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. |
tr_TR |
| dc.language.iso |
en |
tr_TR |
| dc.publisher |
International Electronic Journal of Geometry (IEJG) / Kazım İLARSLAN |
tr_TR |
| dc.relation.ispartofseries |
2021;Volume: 14 Issue: 2 |
|
| dc.subject |
Flat surface |
tr_TR |
| dc.subject |
regular puncture |
tr_TR |
| dc.subject |
irregular puncture |
tr_TR |
| dc.subject |
conical singularities |
tr_TR |
| dc.title |
Classification of Punctures on Complete Flat Surfaces |
tr_TR |
| dc.type |
Article |
tr_TR |