Submitted Paper

Inserted: 20 sep 2019
Last Updated: 20 sep 2019

Year: 2019

Abstract:

We show that in the complex hyperbolic space there are no compact stable hypersurfaces satisfying a certain quadratic bound on mean curvature and characteristic curvature. The proof follows from a stability inequality that is obtained embedding the complex hyperbolic space into the space Hermitian matrices endowed with a Minkowski product.

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• CHn_Annales.pdf