Null \(2\)-type surfaces in pseudo-Euclidean \(4\)-space with null mean curvature vector (Q2782755)
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scientific article; zbMATH DE number 1725438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Null \(2\)-type surfaces in pseudo-Euclidean \(4\)-space with null mean curvature vector |
scientific article; zbMATH DE number 1725438 |
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8 April 2002
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\(k\)-type submanifold
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null surface
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mean curvature vector
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Null \(2\)-type surfaces in pseudo-Euclidean \(4\)-space with null mean curvature vector (English)
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A submanifold \(M\) of a pseudo-Euclidean space \(E\) is called \(k\)-type if the position vector of \(M\) decomposes into \(k\) vector fields which are eigenvectors of the Laplacian of \(E\) with pairwise different eigenvalues. The authors derive a complete classification of the null 2-type surfaces in \(E=E^4_2\), where 4 denotes the dimension and 2 the signature, with null mean curvature vector.
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