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A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds - MaRDI portal

A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds (Q582604)

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scientific article; zbMATH DE number 4131213
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A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds
scientific article; zbMATH DE number 4131213

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    A geometric maximum principle for surfaces of prescribed mean curvature in Riemannian manifolds (English)
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    1989
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    Let F be a surface in three-dimensional Riemannian space \({\mathcal M}\). Suppose F lies in some subset \(Q\subset M\). The author gives conditions on the mean curvature of F and on the mean curvature of the boundary \(\partial Q\) under which F must lie strictly inside Q.
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    surface
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    mean curvature
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    boundary
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