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arXiv · 1501.05037

Extensions of isometric embeddings of Pseudo-Euclidean metric polyhedra

Pavel Galashin·Vladimir Zolotov
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Abstract

We extend the results of B. Minemyer by showing that any indefinite metric polyhedron (either compact or not) with the vertex degree bounded from above admits an isometric simplicial embedding into a Minkowski space of the lowest possible dimension. We provide a simple algorithm of constructing such embeddings. We also show that every partial simplicial isometric embedding of such space in general position extends to a simplicial isometric embedding of the whole space.

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Pavel Galashin, Vladimir Zolotov. 2015-01-21. Extensions of isometric embeddings of Pseudo-Euclidean metric polyhedra. https://doi.org/10.3934/era.2016.23.001

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