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arXiv · 0902.1760

Horizontal Gauss Curvature Flow of Graphs in Carnot Groups

Erin Haller Martin
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Abstract

We show the existence of continuous viscosity solutions to the equation describing the flow of a graph in the Carnot group G x R according to its horizontal Gauss curvature. In doing so, we prove a comparison principle for degenerate parabolic equations of the form u_t + F(D_0u, (D_0^2u)^*) = 0 for u defined on G.

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Erin Haller Martin. 2009-02-10. Horizontal Gauss Curvature Flow of Graphs in Carnot Groups. https://arxiv.org/abs/0902.1760

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