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

Author: Hai Zhong Li
Journal: Proc. Amer. Math. Soc. 105 (1989), 992-997
MSC: Primary 53A10; Secondary 53C42
DOI: https://doi.org/10.1090/S0002-9939-1989-0960643-9
MathSciNet review: 960643
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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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