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math.DG2009★ 1 cited
Stable hypersurfaces with constant scalar curvature in Euclidean spaces
Hilário Alencar, Walcy Santos, Detang Zhou
We obtain some nonexistence results for complete noncompact stable hyppersurfaces with nonnegative constant scalar curvature in Euclidean spaces. As a special case we prove that th…
math.DG2009★ 3 cited
Curvature integral estimates for complete hypersurfaces
Hilário Alencar, Walcy Santos, Detang Zhou
We consider the integrals of -mean curvatures of a complete hypersurface in space forms which generalize volume , total mean curvature $(r…