Conserved quantities of distinguished curves on conformal sphere
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910920081408000 |
|---|---|
| author | Plansangkate, Prim Zalabová, Lenka |
| author_facet | Plansangkate, Prim Zalabová, Lenka |
| contents | We give conserved quantities of two generalizations of conformal circles on the conformal sphere. One generalization concerns curves carrying a distinguished parallel tractor along them, which can be used to construct the conserved quantities. The other is the class of curves satisfying the conformal Mercator equation, the conserved quantities of which are computed using Lagrangian formalism. The two generalizations are not disjoint, and our main result is the relation between their conserved quantities. Explicit examples are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23442 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conserved quantities of distinguished curves on conformal sphere Plansangkate, Prim Zalabová, Lenka Differential Geometry Mathematical Physics We give conserved quantities of two generalizations of conformal circles on the conformal sphere. One generalization concerns curves carrying a distinguished parallel tractor along them, which can be used to construct the conserved quantities. The other is the class of curves satisfying the conformal Mercator equation, the conserved quantities of which are computed using Lagrangian formalism. The two generalizations are not disjoint, and our main result is the relation between their conserved quantities. Explicit examples are also presented. |
| title | Conserved quantities of distinguished curves on conformal sphere |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2503.23442 |