Flows with minimal number of singularities in the Boy's surface
| dc.contributor.author | Luca Di Beo, Alexandr Olegovich Prishlyak | |
| dc.date.accessioned | 2023-05-10T13:23:08Z | |
| dc.date.available | 2023-05-10T13:23:08Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We study flows on the Boy's surface. The Boy's surface is the image of the projective plane under a certain immersion into the three-dimensional Euclidean space. It has a natural stratification consisting of one 0-dimensional stratum (central point), three 1-dimensional strata (loops starting at this point), and four 2-dimensional strata (three of them are disks lying on the same plane as the 1-dimensional strata, and having the loops as boundaries). We found all 342 optimal Morse-Smale flows and all 80 optimal projective Morse-Smale flows on the Boy's surface. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/25003 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Flows with minimal number of singularities in the Boy's surface |