On the realization problem of plane real algebraic curves as Hessian curves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2013
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| _version_ | 1866916498709151744 |
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| author | Calderón, Angelito Camacho Rodríguez, Adriana Ortiz |
| author_facet | Calderón, Angelito Camacho Rodríguez, Adriana Ortiz |
| contents | The Hessian Topology is a subject having interesting relations with several areas, for instance, differential geometry, implicit differential equations, analysis and singularity theory. In this article we study the problem of realization of a real plane curve as the Hessian curve of a smooth function. The plane curves we consider are constituted either by only outer ovals or inner ovals. We prove that some of such curves are realizable as Hessian curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1306_3483 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | On the realization problem of plane real algebraic curves as Hessian curves Calderón, Angelito Camacho Rodríguez, Adriana Ortiz Differential Geometry 53A15, 53A05 The Hessian Topology is a subject having interesting relations with several areas, for instance, differential geometry, implicit differential equations, analysis and singularity theory. In this article we study the problem of realization of a real plane curve as the Hessian curve of a smooth function. The plane curves we consider are constituted either by only outer ovals or inner ovals. We prove that some of such curves are realizable as Hessian curves. |
| title | On the realization problem of plane real algebraic curves as Hessian curves |
| topic | Differential Geometry 53A15, 53A05 |
| url | https://arxiv.org/abs/1306.3483 |