@article{7f6aaf54f33648619f7509add46c7e20,
title = "Stable complete noncompact hypersurfaces with constant mean curvature",
abstract = "This article concerns the structure of complete noncompact stable hypersurfaces Mn with constant mean curvature H > 0 in a complete noncompact oriented Riemannian manifold Nn+1. In particular, we show that a complete noncompact stable constant mean curvature hypersurface Mn, n = 5, 6, in the Euclidean space must have only one end. Any such hypersurface in the hyperbolic space with, respectively, has only one end.",
keywords = "Constant mean curvature, Hyperbolic space, Nonparabolic end, Parabolic end, Stable hypersurface",
author = "Chen, {Jui Tang Ray}",
note = "Funding Information: Acknowledgements The author would like to thank Professor J. Wang and Professor S.C. Chang for their interest in this work. Research supported in part by NSC of Taiwan.",
year = "2009",
month = jul,
doi = "10.1007/s10455-009-9155-y",
language = "English",
volume = "36",
pages = "161--190",
journal = "Annals of Global Analysis and Geometry",
issn = "0232-704X",
publisher = "Springer Netherlands",
number = "2",
}