Partial tubes and Chen submanifolds (Q1281732)

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scientific article; zbMATH DE number 1268131
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Partial tubes and Chen submanifolds
scientific article; zbMATH DE number 1268131

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    Partial tubes and Chen submanifolds (English)
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    19 September 1999
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    The authors show how to construct a class of Chen submanifolds of Euclidean space from certain given Chen submanifolds. Using the notion of 1-minimal immersion, they obtain examples which are partial tubes. Many examples of nontrivial Chen submanifolds of dimension \(>2\) with flat normal connection are obtained.
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    Chen submanifold
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    1-minimal immersion
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    partial tube
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    flat normal connection
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