Hyperbolic elliptic parabolic disks approximated by half distance bands
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915846189744128 |
|---|---|
| author | Lakos, Gyula |
| author_facet | Lakos, Gyula |
| contents | Hyperbolic elliptic parabolic disks can be described by the inequality $\frac{x^2}{C^2}+2y^2-2y\leq0$ ($0<C<1$) in the unit disk based Beltrami--Cayley--Klein model of the hyperbolic geometry, up to hyperbolic congruences. The hyperbolic elliptic parabolic disks considered above are sort of close to their supporting half distance bands given by the inequalities $\frac{x^2}{C^2}+ y^2-1\leq0$ and $y\geq0$. Here we consider what `close' might mean, and we look for even more precise approximations, in terms of area and circumference. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08226 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hyperbolic elliptic parabolic disks approximated by half distance bands Lakos, Gyula History and Overview Metric Geometry Primary: 51M10, Secondary: 51M09, 51M25 Hyperbolic elliptic parabolic disks can be described by the inequality $\frac{x^2}{C^2}+2y^2-2y\leq0$ ($0<C<1$) in the unit disk based Beltrami--Cayley--Klein model of the hyperbolic geometry, up to hyperbolic congruences. The hyperbolic elliptic parabolic disks considered above are sort of close to their supporting half distance bands given by the inequalities $\frac{x^2}{C^2}+ y^2-1\leq0$ and $y\geq0$. Here we consider what `close' might mean, and we look for even more precise approximations, in terms of area and circumference. |
| title | Hyperbolic elliptic parabolic disks approximated by half distance bands |
| topic | History and Overview Metric Geometry Primary: 51M10, Secondary: 51M09, 51M25 |
| url | https://arxiv.org/abs/2603.08226 |