Abstract.
We prove a best possible L p-estimate for compact CMC surfaces immersed into a 3-dimensional unit sphere \({\mathbb{S}}^3\), and as a consequence we obtain an L p- characterization of the flat torus in \({\mathbb{S}}^3\).
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Zejun Hu: Supported by grants of NSFC-10671181.
Received: 16 December 2007
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Feng, P., Hu, Z. An L p-estimate for surfaces of constant mean curvature in \({\mathbb{S}}^3\) . Arch. Math. 91, 461–470 (2008). https://doi.org/10.1007/s00013-008-2692-y
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DOI: https://doi.org/10.1007/s00013-008-2692-y