Boundedness of geometric invariants near a singularity which is a suspension of a singular curve
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910644622589952 |
|---|---|
| author | Martins, Luciana F. Saji, Kentaro Santos, Samuel P. dos Teramoto, Keisuke |
| author_facet | Martins, Luciana F. Saji, Kentaro Santos, Samuel P. dos Teramoto, Keisuke |
| contents | Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of diverge, in particular the boundedness about these invariants represent geometry of the surface and the curve. In this paper, we study boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane and those of curves passing through the singular point. We evaluates the orders of Gaussian and mean curvatures and them of geodesic, normal curvatures and geodesic torsion for the curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_11487 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Boundedness of geometric invariants near a singularity which is a suspension of a singular curve Martins, Luciana F. Saji, Kentaro Santos, Samuel P. dos Teramoto, Keisuke Differential Geometry 57R45, 58K05 Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of diverge, in particular the boundedness about these invariants represent geometry of the surface and the curve. In this paper, we study boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane and those of curves passing through the singular point. We evaluates the orders of Gaussian and mean curvatures and them of geodesic, normal curvatures and geodesic torsion for the curve. |
| title | Boundedness of geometric invariants near a singularity which is a suspension of a singular curve |
| topic | Differential Geometry 57R45, 58K05 |
| url | https://arxiv.org/abs/2206.11487 |