4 papers
Wallpaper Groups and Auxetic Metamaterials
Brendan Burns Healy, Aparna Deshmukh, Elliott Fairchild +2
We examine a fundamental material property called Poisson's ratio, which establishes the relationship for the relative deformation of a physical system in orthogonal directions. Ar…
Cusped spaces and quasi-isometries of relatively hyperbolic groups
Brendan Burns Healy, G. Christopher Hruska
A group with a family of subgroups is relatively hyperbolic if admits a cusp-uniform action on a proper --hyperbolic space. We show that any two such spaces…
Pinched Curvature in Heintze Groups of Carnot-type
Brendan Burns Healy
Rank-one symmetric spaces carry a solvable group model which have a generalization to a larger class of Lie groups that are one-dimensional extensions of nilpotent groups. By exami…
Rigidity Properties for Hyperbolic Generalizations
Brendan Burns Healy
We make a few observations on the absence of geometric and topological rigidity for acylindrically hyperbolic and relatively hyperbolic groups. In particular, we demonstrate the la…