Artículo
On the isodiametric and isominwidth inequalities for planar bisections
Autor/es | Cañete Martín, Antonio Jesús
González Merino, Bernardo |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2019 |
Fecha de depósito | 2019-10-23 |
Publicado en |
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Resumen | For a given planar convex compact set K, consider a bisection {A,B} of K (i.e.,
A [ B = K and whose common boundary A \ B is an injective continuous curve connecting two
boundary points of K) minimizing the corresponding ... For a given planar convex compact set K, consider a bisection {A,B} of K (i.e., A [ B = K and whose common boundary A \ B is an injective continuous curve connecting two boundary points of K) minimizing the corresponding maximum diameter (or maximum width) of the regions among all such bisections of K. In this note we study some properties of these minimizing bisections and we provide analogous to the isodiametric (Bieberbach, 1915), the isominwidth (P´al, 1921), the reverse isodiametric (Behrend, 1937), and the reverse isominwidth (Gonz´alez Merino & Schymura, 2018) inequalities. |
Identificador del proyecto | MTM2017-84851-C2-1-P
FQM-325 |
Cita | Cañete Martín, A.J. y González Merino, B. (2019). On the isodiametric and isominwidth inequalities for planar bisections. ArXiv.org, arXiv:1903.06461 |
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