Some remarks on the existence of oriented manifolds with prescribed mean curvature form (Q1188350)
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scientific article; zbMATH DE number 40527
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the existence of oriented manifolds with prescribed mean curvature form |
scientific article; zbMATH DE number 40527 |
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Some remarks on the existence of oriented manifolds with prescribed mean curvature form (English)
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13 August 1992
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Summary: Given an integral \(m\)-current \(T_ 0\) in \(\mathbb{R}^{m+k}\) and a tensor \(H\) of type \((m,1)\) on \(R^{m+k}\) with values orthogonal to each of its arguments we prove under suitable smallness conditions the existence of an integral \(m\)-current \(T\) with boundary \(\partial T=\partial T_ 0\) having prescribed mean curvature form \(H\).
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integral current
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generalized mean curvature
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small \(H\) surfaces
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