Stability of surfaces with constant mean curvature

Li, Hai Zhong

doi:10.1090/S0002-9939-1989-0960643-9

Stability of surfaces with constant mean curvature
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Proc. Amer. Math. Soc. 105 (1989), 992-997 Request permission

Abstract:

We estimate the Gaussian curvature of a conformal metric on a surface of constant mean curvature in space form ${M^3}(c)$. By use of the estimates, we study stability of surfaces with constant mean curvature in ${M^3}(c)$.

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