| dc.contributor.author |
Saglam, Ismail |
|
| dc.date.accessioned |
2019-11-29T11:08:49Z |
|
| dc.date.available |
2019-11-29T11:08:49Z |
|
| dc.date.issued |
2019 |
|
| dc.identifier.citation |
Saglam, I. (2019). Complete flat cone metrics on punctured surfaces. Turkish Journal of Mathematics, 43(2), 813-832. https://doi.org/10.3906/mat-1806-23 |
tr_TR |
| dc.identifier.issn |
1300-0098 |
|
| dc.identifier.issn |
1303-6149 |
|
| dc.identifier.uri |
http://openaccess.adanabtu.edu.tr:8080/xmlui/handle/123456789/619 |
|
| dc.identifier.uri |
https://doi.org/10.3906/mat-1806-23 |
|
| dc.description |
WOS indeksli yayınlar koleksiyonu. / WOS indexed publications collection.
TR Dizin indeksli yayınlar koleksiyonu. / TR Dizin indexed publications collection. |
|
| 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. |
tr_TR |
| dc.language.iso |
en |
tr_TR |
| dc.publisher |
TURKISH JOURNAL OF MATHEMATICS / SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK |
tr_TR |
| dc.relation.ispartofseries |
2019;Volume: 43 Issue: 2 |
|
| dc.subject |
Flat metric |
tr_TR |
| dc.subject |
the Gauss-Bonnet formula |
|
| dc.subject |
surfaces with punctures |
|
| dc.subject |
the Hopf-Rinow theorem |
|
| dc.subject |
PRESCRIBING CURVATURE |
|
| dc.subject |
POLYHEDRA |
|
| dc.subject |
POLYGONS |
|
| dc.subject |
Mathematics |
|
| dc.title |
Complete flat cone metrics on punctured surfaces |
tr_TR |
| dc.type |
Article |
tr_TR |