Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces (Q988888)

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scientific article; zbMATH DE number 5773061
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Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces
scientific article; zbMATH DE number 5773061

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    Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces (English)
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    19 August 2010
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    A Lorentz surface of an indefinite space form is parallel if its second fundamental form is parallel. In the paper under review, the author obtains a complete explicit classification of parallel Lorentz surfaces in a pseudo-Euclidean space \(\mathbb{E}_{s}^{m}\) with arbitrary dimension \(m\) and arbitrary index \(s\).
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    Lorentz surface
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    indefinite space form Lorentz surface
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    indefinite space form
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    pseudo-Euclidean space
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    minimal Lorentz surface
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