Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\) (Q1911161)
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scientific article; zbMATH DE number 866117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\) |
scientific article; zbMATH DE number 866117 |
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Surfaces with parallel mean curvature vector in \(P^ 2(\mathbb C)\) (English)
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10 July 1997
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The author studies 2-dimensional non-minimal submanifolds with parallel mean curvature vector in the complex projective plane \(P^2(\mathbb C)\). He gives a method of constructing such submanifolds and proves a theorem determining isometric immersions with parallel mean curvature vector field of Riemannian 2-dimensional manifolds with constant Gaussian curvature into \(P^2(\mathbb C)\).
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mean curvature
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minimal submanifold
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Kähler function
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