Rotation Minimizing vector fields and frames in Riemannian manifolds
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2013
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910314737434624 |
|---|---|
| author | Etayo, Fernando |
| author_facet | Etayo, Fernando |
| contents | We prove that a normal vector field along a curve in R3 is rotation minimizing (RM) if and only if it is parallel respect to the normal connection. This allows us to generalize all the results of RM vectors and frames to curves immersed in Riemannian manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_7349 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Rotation Minimizing vector fields and frames in Riemannian manifolds Etayo, Fernando Differential Geometry 57R25, 53C40, 53A04 We prove that a normal vector field along a curve in R3 is rotation minimizing (RM) if and only if it is parallel respect to the normal connection. This allows us to generalize all the results of RM vectors and frames to curves immersed in Riemannian manifolds. |
| title | Rotation Minimizing vector fields and frames in Riemannian manifolds |
| topic | Differential Geometry 57R25, 53C40, 53A04 |
| url | https://arxiv.org/abs/1304.7349 |