## Seminario

Data evento:

Tuesday, April 11, 2017 - 15:00

**Seminario di Geometria**
Aula 1B1 Pal. RM002
Giuseppe Pipoli
Institut Fourier, Grenoble
*Inverse mean curvature flow in complex hyperbolic space
*

Abstract:

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.

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