Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter
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| Title: | Bisections of Centrally Symmetric Planar Convex Bodies Minimizing the Maximum Relative Diameter |
|---|---|
| Authors: | Cañete, Antonio | Segura Gomis, Salvador |
| Research Group/s: | Curvas Alpha-Densas. Análisis y Geometría Local |
| Center, Department or Service: | Universidad de Alicante. Departamento de Matemáticas |
| Keywords: | Centrally symmetric planar convex bodies | Maximum relative diameter | Minimizing bisections |
| Knowledge Area: | Geometría y Topología |
| Issue Date: | 24-Oct-2019 |
| Publisher: | Springer Nature |
| Citation: | Mediterranean Journal of Mathematics. 2019, 16:151. https://doi.org/10.1007/s00009-019-1411-1 |
| Abstract: | In this paper, we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative diameter functional. We give a necessary and a sufficient condition for a minimizing bisection, as well as analyze the behavior of the so-called standard bisection. |
| Sponsor: | Antonio Cañete is partially supported by the MICINN projects MTM2013-48371-C2-1-P and MTM2017-84851-C2-1-P, and by Junta de Andalucía grant FQM-325 (Consejería de Economía, Innovación, Ciencia y Empleo). Salvador Segura Gomis is partially supported by MINECO/FEDER project MTM2015-65430-P and “Programa de Ayudas a Grupos de Excelencia de la Región de Murcia”, Fundación Séneca, 19901/GERM/15. |
| URI: | http://hdl.handle.net/10045/116147 |
| ISSN: | 1660-5446 (Print) | 1660-5454 (Online) |
| DOI: | 10.1007/s00009-019-1411-1 |
| Language: | eng |
| Type: | info:eu-repo/semantics/article |
| Rights: | © Springer Nature Switzerland AG 2019 |
| Peer Review: | si |
| Publisher version: | https://doi.org/10.1007/s00009-019-1411-1 |
| Appears in Collections: | INV - CADAGL - Artículos de Revistas |
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| File | Description | Size | Format | |
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 Canete_Segura-Gomis_2019_MediterrJMath_final.pdf | Versión final (acceso restringido) | 853,71 kB | Adobe PDF | Open Request a copy |
 Canete_Segura-Gomis_2019_MediterrJMath_preprint.pdf | Preprint (acceso abierto) | 296,81 kB | Adobe PDF | Open Preview |
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