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Stability of a constant mean curvature surface in R3
Published online by Cambridge University Press: 17 April 2009
Abstract
We solve the question raised by Barbosa and do Carmo as to whether there exists a complete, noncompact stably immersed surface in R3 with nonzero constant mean curvature. We show that such a surface is necessarily minimal, that is, its mean curvature is zero.
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- Copyright © Australian Mathematical Society 1987
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