Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve (Q5948434)
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scientific article; zbMATH DE number 1669232
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve |
scientific article; zbMATH DE number 1669232 |
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Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve (English)
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18 November 2001
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The authors construct surfaces in the 6-dimensional Euclidean space \({\mathbf E}^6\), by taking the tensor product of Euclidean space curves with Euclidean plane curves. First, they classify the minimal surfaces of this type. Secondly, they consider the canonical complex structure on \({\mathbf E}^6\) and characterize the totally real and the proper slant tensor product surfaces of the respective family.
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tensor product immersions
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Euclidean curves
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codimension 4 immersion
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minimal surface
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totally real surface
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slant surface
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