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Keywords:
space forms; $r$-th mean curvatures; $r$-stability
space forms; $r$-th mean curvatures; $r$-stability
Summary:
In this paper we study the $r$-stability of closed hypersurfaces with constant $r$-th mean curvature in Riemannian manifolds of constant sectional curvature. In this setting, we obtain a characterization of the $r$-stable ones through of the analysis of the first eigenvalue of an operator naturally attached to the $r$-th mean curvature.
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