Vol. 152, No. 2, 1992

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Superharmonicity of curvatures for surfaces of constant mean curvature

Wu Hsiung Huang

Vol. 152 (1992), No. 2, 291–318
Abstract

For a hypersurface of constant mean curvature in an Euclidean space, we illustrate the superharmonicity of various forms of curvatures. Applications in parametric capillary surfaces, constant rank properties of surfaces and a Shiffman type theorem are discussed.

Mathematical Subject Classification 2000
Primary: 53A10
Secondary: 53C42
Milestones
Received: 5 May 1989
Published: 1 February 1992
Authors
Wu Hsiung Huang