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Stability of Hypersurfaces with Constant r-Mean Curvature |
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| 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
-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
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