5 citations · 8 across the 10 of their papers we have counts for
4 papers · 1 filter
On the isometric embedding problem for length metric spaces
Barry Minemyer
We prove that every proper -dimensional length metric space admits an "approximate isometric embedding" into Lorentzian space . By an "approximate isometric…
Intrinsic Isometric Embeddings of Pro-Euclidean Spaces
B. Minemyer
Petrunin proves that a metric space admits an intrinsic isometry into if and only if is a pro-Euclidean space of rank at most . He the…
Isometric Embeddings of Polyhedra into Euclidean Space
B. Minemyer
In this paper we consider piecewise linear (pl) isometric embeddings of Euclidean polyhedra into Euclidean space. A Euclidean polyhedron is just a metric space which…
Simplicial isometric embeddings of indefinite metric polyhedra
Barry Minemyer
In this paper, isometric embedding results of Greene, Gromov and Rokhlin are extended to what are called "indefinite metric polyhedra". Two definitions for an indefinite metric pol…