@inproceedings{ELBERT2007StableCM,
title={Stable Constant Mean Curvature Hypersurfaces},
author={MARIA FERNANDA ELBERT and B. Nelli and Richard A. Wentworth},
year={2007}
}

Let Nn+1 be a Riemannian manifold with sectional curvatures uniformly bounded from below. When n = 3, 4, we prove that there are no complete (strongly) stable H-hypersurfaces, without boundary, provided |H| is large enough. In particular, we prove that there are no complete strongly stable H-hypersurfaces in Rn+1 without boundary, H = 0.