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Inverse Mean Curvature Flow in Complex Hyperbolic Space by Pipoli, Giuseppe is a scholarly article available to read on EtoBox.

What is Inverse Mean Curvature Flow in Complex Hyperbolic Space about?

We consider the evolution by inverse mean curvature flow of a closed, mean convex and star-shaped hypersurface in the complex hyperbolic space. We prove that the flow is defined for any positive time, the evolving hypersurface stays star-shaped and mean convex. Moreover the induced metric converges, after rescaling, to a conformal multiple of the standard sub- Riemannian metric on the sphere. Finally we show that there exists a family of examples such that the Webster curvature of this sub-Riemannian limit is not constant.

Author

Pipoli, Giuseppe

Published

2016

Language

EN