2 citations · 2 across the 3 of their papers we have counts for
3 papers
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 -space by a 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 . We find it to be ${1/2}\arcc…
math.GT2006★ 2 cited
Andreev's Theorem on hyperbolic polyhedra
Roland K. W. Roeder, John H. Hubbard, William D. Dunbar
In 1970, E. M. Andreev published a classification of all three-dimensional compact hyperbolic polyhedra having non-obtuse dihedral angles. Given a combinatorial description of a po…