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Anais da Academia Brasileira de Ciências

On-line version ISSN 1678-2690

Abstract

HINOJOSA, Pedro A.. Constant mean curvature surfaces with circular boundary in R3. An. Acad. Bras. Ciênc. [online]. 2006, vol.78, n.1, pp. 1-6. ISSN 1678-2690.  http://dx.doi.org/10.1590/S0001-37652006000100001.

In this work we deal with surfaces immersed in R3 with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors. We still establish the uniqueness of the spherical cap in some classes of cmc surfaces.

Keywords : surfaces with boundary; constant mean curvature; spherical caps; area; volume.

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