A family of flat Minkowski planes over convex functions

Duy Ho

doi:10.1007/s00022-022-00640-8

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arXiv · 2109.07772

A family of flat Minkowski planes over convex functions

Duy Ho

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Abstract

Using suitable convex functions, we construct a new family of flat Minkowski planes whose automorphism groups are at least $3$-dimensional. These planes admit groups of automorphisms isomorphic to the direct product of $\mathbb{R}$ and the connected component of the affine group on $\mathbb{R}$. We also determine isomorphism classes, automorphisms and possible Klein-Kroll types for our examples.

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BibTeX RIS

Duy Ho. 2021-09-16. A family of flat Minkowski planes over convex functions. https://doi.org/10.1007/s00022-022-00640-8

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