$π_B$ in asymetric Minkowski normed spaces

Fuente: arXiv
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Auteur principal: Múzquiz, Gorka Guardiola
Format: Preprint
Publié: 2025
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author Múzquiz, Gorka Guardiola
author_facet Múzquiz, Gorka Guardiola
contents We extend the classical results of Stanislaw Golab, on the values of pi in arbitrary normed planes, to asymmetric norms where the unit ball has one axis of symmetry. First, we characterize the values of $π_B$ for different families of polygons as unit ball B. Then we prove that $π_B \ge 3$, and can take all possible values and is not bounded in such spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05521
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $π_B$ in asymetric Minkowski normed spaces
Múzquiz, Gorka Guardiola
General Mathematics
52
We extend the classical results of Stanislaw Golab, on the values of pi in arbitrary normed planes, to asymmetric norms where the unit ball has one axis of symmetry. First, we characterize the values of $π_B$ for different families of polygons as unit ball B. Then we prove that $π_B \ge 3$, and can take all possible values and is not bounded in such spaces.
title $π_B$ in asymetric Minkowski normed spaces
topic General Mathematics
52
url https://arxiv.org/abs/2511.05521