Minimal submanifolds with second fundamental form of constant length in a pseudo-Riemannian manifold (Q2716763)
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scientific article; zbMATH DE number 1599391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal submanifolds with second fundamental form of constant length in a pseudo-Riemannian manifold |
scientific article; zbMATH DE number 1599391 |
Statements
2 December 2001
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spacelike submanifold
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second fundamental form
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mean curvature vector
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minimal submanifold
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Laplacian operator
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Minimal submanifolds with second fundamental form of constant length in a pseudo-Riemannian manifold (English)
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The authors study minimal spacelike submanifolds in pseudo-Riemannian space forms. In particular, following the ideas of \textit{S. S. Chern, M. P. do Carmo} and \textit{S. Kobayashi} [Funct. Anal. Relat. Fields, Conf. Chicago 1968, 59-75 (1970; Zbl 0216.44001)] the authors compute the Laplacian of the square of the length of the second fundamental form for such submanifolds, and use it to derive some consequences.
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