Geometry on deformations of S1 singularities
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910936091066368 |
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| author | Shimada, Runa |
| author_facet | Shimada, Runa |
| contents | To study a one parameter deformation of an $S_1$ singularity taking into consideration its differential geometric properties, we give a form representing the deformation using only diffeomorphisms on the source and isometries of the target. Using this form, we study differential geometric properties of $S_1$ singularities and the Whitney umbrellas appearing in the deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17172 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometry on deformations of S1 singularities Shimada, Runa Differential Geometry 57R45, 53A05 To study a one parameter deformation of an $S_1$ singularity taking into consideration its differential geometric properties, we give a form representing the deformation using only diffeomorphisms on the source and isometries of the target. Using this form, we study differential geometric properties of $S_1$ singularities and the Whitney umbrellas appearing in the deformation. |
| title | Geometry on deformations of S1 singularities |
| topic | Differential Geometry 57R45, 53A05 |
| url | https://arxiv.org/abs/2404.17172 |