EXTENSIONS OF ISOMETRIC EMBEDDINGS OF PSEUDO-EUCLIDEAN METRIC POLYHEDRA

作者：Galashin Pavel^*; Zolotov Vladimir

来源：Electronic Research Announcements in Mathematical Sciences, 2016, 23(0): 1-7.

DOI：10.3934/era.2016.23.001

• Discrete geometry
• isometric simplicial embedding
• isometric extension
• pseudo-metric polyhedra
• metric geometry
• Minkowski space

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 for 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.

• 出版日期2016
• 单位MIT