Characterizations of generalized convex bodies of revolution
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866914295987568640 |
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| author | Alfonseca, María Angeles Cordier, Michelle Amaya, Efrén Morales Hernández, Diana Janett Verdusco |
| author_facet | Alfonseca, María Angeles Cordier, Michelle Amaya, Efrén Morales Hernández, Diana Janett Verdusco |
| contents | In this work we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body $K$ in the Euclidean space $E^d, d>2$, are enough to guarantee that $K$ is a generalized body of revolution (and in some cases a sphere). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_12646 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Characterizations of generalized convex bodies of revolution Alfonseca, María Angeles Cordier, Michelle Amaya, Efrén Morales Hernández, Diana Janett Verdusco Metric Geometry In this work we prove that either a sequence of axes of symmetry or a sequence of hyperplanes of symmetry of a convex body $K$ in the Euclidean space $E^d, d>2$, are enough to guarantee that $K$ is a generalized body of revolution (and in some cases a sphere). |
| title | Characterizations of generalized convex bodies of revolution |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2006.12646 |