On the asymptotic Plateau problem in Cartan--Hadamard manifolds (2107.14670v5)

Published 30 Jul 2021 in math.DG

Abstract: We prove dynamical stability of a natural class of hypersurface laminations defined over Cartan--Hadamard manifolds of pinched curvature. We achieve this by providing a complete solution to the asymptotic Plateau problem for immersed surfaces of constant extrinsic curvature in Cartan--Hadamard manifolds, proposed by Labourie in [25], together with its natural higher-dimensional generalisation.

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Authors (1)

Graham Smith

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