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Null 2-type submanifolds of the Euclidean space \(E^5\) with parallel normalized mean curvature vector - MaRDI portal

Null 2-type submanifolds of the Euclidean space \(E^5\) with parallel normalized mean curvature vector (Q2386867)

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Null 2-type submanifolds of the Euclidean space \(E^5\) with parallel normalized mean curvature vector
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    Null 2-type submanifolds of the Euclidean space \(E^5\) with parallel normalized mean curvature vector (English)
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    25 August 2005
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    The concept of submanifolds of finite type was introduced by B.-Y. Chen in 1984 [see \textit{B.-Y. Chen}, Total mean curvature and submanifolds of finite type. Series in Pure Mathematics. 1. World Scientific, Singapore (1984; Zbl 0537.53049)]). In the paper under review, the author classifies \(3\)-dimensional null \(2\)-type submanifolds of the Euclidean space \(E^5\) with parallel normalized mean curvature vector under certain hypothesis.
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    finite type submanifold
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    mean curvature vector
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    null \(2\)-type submanifold
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