On constant mean curvature hypersurfaces with finite index |
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| Authors: | Xu Cheng |
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| Institution: | (1) Insitituto de Matemática, Universidade Federal Fluminense (UFF), Valonguinho, 24020-140, Niterói, Rio de Janeiro, Brazil |
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| Abstract: | We discuss the non-existence of complete noncompact constant mean curvature hypersurfaces with finite index in a 4- or 5-dimensional
manifold. As a consequence, we obtain that a complete noncompact constant mean curvature hypersurface in
with finite index must be minimal.
Received: 30 May 2005 |
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| Keywords: | 53C42 53C21 58E15 |
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