Moutard hyperquadrics and generalized Darboux directions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916237531938816 |
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| author | Cordeiro, Fernanda Py Silva Craizer, Marcos |
| author_facet | Cordeiro, Fernanda Py Silva Craizer, Marcos |
| contents | The higher order contact of a quadric with a surface in $3$-space at a non-degenerate point is obtained by the Moutard quadric in the Darboux direction. In this paper, we discuss the extension of this result to hypersurfaces in arbitrary dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12712 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moutard hyperquadrics and generalized Darboux directions Cordeiro, Fernanda Py Silva Craizer, Marcos Differential Geometry 53A15, 53A20 The higher order contact of a quadric with a surface in $3$-space at a non-degenerate point is obtained by the Moutard quadric in the Darboux direction. In this paper, we discuss the extension of this result to hypersurfaces in arbitrary dimensions. |
| title | Moutard hyperquadrics and generalized Darboux directions |
| topic | Differential Geometry 53A15, 53A20 |
| url | https://arxiv.org/abs/2401.12712 |