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Minimal submanifolds in \(\mathrm{Sol}_0^4\) - MaRDI portal

Minimal submanifolds in \(\mathrm{Sol}_0^4\) (Q6174362)

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scientific article; zbMATH DE number 7712721
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Minimal submanifolds in \(\mathrm{Sol}_0^4\)
scientific article; zbMATH DE number 7712721

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    Minimal submanifolds in \(\mathrm{Sol}_0^4\) (English)
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    14 July 2023
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    The authors study several minimal submanifolds in the 4-dimensional homogeneous solvable Lie group Sol\(_0^4\) equipped with the standard globally conformal Kähler structure. They begin with the classification of minimal proper invariant submanifolds in Sol\(_0^4\) and show that those which are tangent or normal to the Lee field are cylindrical surfaces. The also find minimal CR-products in Sol\(_0^4\).
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    minimal submanifolds
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    solvable Lie groups
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