Cuspidal edges on focal surfaces of regular surfaces
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916018910134272 |
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| author | Teramoto, Keisuke |
| author_facet | Teramoto, Keisuke |
| contents | We investigate geometric invariants of cuspidal edges on focal surfaces of regular surface. In particular, we shall clarify the sign of the singular curvature at a cuspidal edge on a focal surface using singularities of parallel surface of a given surface satisfying certain conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00860 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cuspidal edges on focal surfaces of regular surfaces Teramoto, Keisuke Differential Geometry 53A05, 53A55, 57R45 We investigate geometric invariants of cuspidal edges on focal surfaces of regular surface. In particular, we shall clarify the sign of the singular curvature at a cuspidal edge on a focal surface using singularities of parallel surface of a given surface satisfying certain conditions. |
| title | Cuspidal edges on focal surfaces of regular surfaces |
| topic | Differential Geometry 53A05, 53A55, 57R45 |
| url | https://arxiv.org/abs/2509.00860 |