Aaron Peterson

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20062016

most citedCarnot-Carathéodory Metrics in Unbounded Subdomains of

C^{2}

3 citations · 4 across the 4 of their papers we have counts for

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math.DG2016★ 1 cited

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.DG2014★ 3 cited

Carnot-Carathéodory Metrics in Unbounded Subdomains of $C^{2}$

Aaron Peterson

We introduce a new class of unbounded model subdomains of $C^{2}$ for the $□_{b}$ problem. Unlike previous finite type models, these domains need not be bounded by algebrai…

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

Carnot-Carathéodory Metrics in Unbounded Subdomains of C2

Locally Isometric Families of Minimal Surfaces

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

Carnot-Carathéodory Metrics in Unbounded Subdomains of $C^{2}$