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Stability of Hypersurfaces with Constant r-Mean Curvature
Authors:João Lucas Marques Barbosa  Antônio Gervasio Colares
Institution:(1) Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60455-760 Fortaleza-Ce, Brazil
Abstract:We deal with compact hypersurfaces immersed in space forms with constant 
$$r$$
-mean curvature. They are critical points for a variational problem. We show they are stable if and only if they are geodesic spheres, generalizing results on constant curvature hypersurfaces.
Keywords:mean curvature   
gif" alt="   $$r$$    -mean curvature" target="_blank">" align="middle" border="0"> -mean curvature  sphere  stability  stable
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