JournalscmhVol. 73 , No. 4DOI 10.1007/s000140050070

Stable constant mean curvature hypersurfaces in some Riemannian manifolds

  • S. Montiel

    Universidad de Granada, Spain
Stable constant mean curvature hypersurfaces in some Riemannian manifolds cover

Abstract

We determine all stable constant mean curvature hypersurfaces in a wide class of complete Riemannian manifolds having a foliation whose leaves are umbilical hypersurfaces. Among the consequences of this analysis we obtain all the stable constant mean curvature hypersurfaces in many nonsimply connected hyperbolic space forms.