A characterization of the ellipsoid through planar grazes
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914295993860096 |
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| author | Garcia, Ivan Gonzalez Castro, Jesus Jeronimo Hernandez, Diana Janett Verdusco Amaya, Efren Morales |
| author_facet | Garcia, Ivan Gonzalez Castro, Jesus Jeronimo Hernandez, Diana Janett Verdusco Amaya, Efren Morales |
| contents | In this paper we proved the following: \emph{Let $K, L\subset \mathbb R^3$ be two $O$-symmetric convex bodies with $L\subset \emph{int} K$ strictly convex. Suppose that from every $x$ in $\emph{bd} K$ the graze $Σ(L,x)$ is a planar curve and $K$ is almost free with respect to $L$. Then $L$ is an ellipsoid.} |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_13294 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A characterization of the ellipsoid through planar grazes Garcia, Ivan Gonzalez Castro, Jesus Jeronimo Hernandez, Diana Janett Verdusco Amaya, Efren Morales Metric Geometry In this paper we proved the following: \emph{Let $K, L\subset \mathbb R^3$ be two $O$-symmetric convex bodies with $L\subset \emph{int} K$ strictly convex. Suppose that from every $x$ in $\emph{bd} K$ the graze $Σ(L,x)$ is a planar curve and $K$ is almost free with respect to $L$. Then $L$ is an ellipsoid.} |
| title | A characterization of the ellipsoid through planar grazes |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2207.13294 |