Aaron Peterson

collaborators

2 papers

math.DG2016

On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in $C^{2}$

Ethan Dlugie, Aaron Peterson

We consider the rate of volume growth of large Carnot-Carathéodory metric balls on a class of unbounded model hypersurfaces in $C^{2}$ . When the hypersurface has a uniform g…

math.DG2006

Locally Isometric Families of Minimal Surfaces

Aaron Peterson, Stephen Taylor

We consider a surface $M$ immersed in $R^{3}$ with induced metric $g = ψ δ_{2}$ where $δ_{2}$ is the two dimensional Euclidean metric. We then construct a system of partial differe…

On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in C2

Locally Isometric Families of Minimal Surfaces

On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in $C^{2}$