We propose a notion of stability for constant k$k$-mean curvature hypersurfaces in a general Riemannian manifold and we give some applications. When the ambient manifold is a Space Form, our notion coincides with the known one, given by means of the variational problem.
On the stability of constant higher order mean curvature hypersurfaces in a Riemannian manifold
Nelli, Barbara
2024-01-01
Abstract
We propose a notion of stability for constant k$k$-mean curvature hypersurfaces in a general Riemannian manifold and we give some applications. When the ambient manifold is a Space Form, our notion coincides with the known one, given by means of the variational problem.File in questo prodotto:
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Mathematische Nachrichten - 2024 - Elbert - On the stability of constant higher order mean curvature hypersurfaces in a.pdf
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