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${\Bbb H}^{2}\times {\Bbb R}$

We study the stability of immersed compact constant mean curvature (CMC) surfaces without boundary in some Riemannian 3-manifolds, in particular the Riemannian product spaces ${\Bbb S}^{2}\times {\Bbb R}$ and ${\Bbb H}^{2}\times {\Bbb R}$ . We prove that rotational CMC spheres in ${\Bbb... Full description

1st Person: SOUAM, RABAH
Source: in Transactions of the American Mathematical Society Vol. 362, No. 6 (2010), p. 2845-2857
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Type of Publication: Article
Language: English
Published: 2010
Keywords: research-article
Online: Volltext
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