Summary
In this paper we present sufficient conditions for the non-existence of stable, complete, noncompact, constant mean curvature hypersurfaces in certain (n+1)-dimensional Riemannian manifolds.
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Cheung, LF. A non-existence theorem for stable constant mean curvature hypersurfaces. Manuscripta Math 70, 219–226 (1991). https://doi.org/10.1007/BF02568372
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DOI: https://doi.org/10.1007/BF02568372