W. D. Dunbar

activity

20062021

most citedAndreev's Theorem on hyperbolic polyhedra

2 citations · 2 across the 3 of their papers we have counts for

collaborators

Showing math.DGShow all

2 papers · 1 filter

math.DG2021

Hilbert's Theorem, via moving frames

William D. Dunbar

We present a proof that the hyperbolic plane cannot be isometrically immersed in Euclidean $3$ -space by a $C^{\infty}$ map. Ideas from many topics in (essentially) undergraduate math…

math.DG2007

Diameters of 3-Sphere Quotients

W. Dunbar, S. Greenwald, J. McGowan +1

Let G, a subset of O(4), act isometrically on the 3-sphere. In this article we calculate a lower bound for the diameter of the quotient spaces $S^{3} / G$ . We find it to be ${1/2}\arcc…