A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb R^{n+1}\) with prescribed mean curvature (Q968597)
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scientific article; zbMATH DE number 5704123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb R^{n+1}\) with prescribed mean curvature |
scientific article; zbMATH DE number 5704123 |
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A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb R^{n+1}\) with prescribed mean curvature (English)
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5 May 2010
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In the case of an immersed hypersurface with prescribed mean curvature, the authors prove a sufficient condition for having the second fundamental forms of all level sets of the same rank. A formula for the curvatures of the level sets is also established.
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contant rank theorem
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level sets
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mean curvature
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