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Totally geodesic submanifolds of Damek-Ricci spaces - MaRDI portal

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Totally geodesic submanifolds of Damek-Ricci spaces (Q2039470)

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scientific article; zbMATH DE number 7367552
Language Label Description Also known as
English
Totally geodesic submanifolds of Damek-Ricci spaces
scientific article; zbMATH DE number 7367552

    Statements

    title
    Totally geodesic submanifolds of Damek-Ricci spaces (English)
    0 references
    author
    Sinhwi Kim
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    Yuri Nikolayevsky
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    Jeonghyeong Park
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    publication date
    5 July 2021
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    review text
    Summary: We classify totally geodesic submanifolds of Damek-Ricci spaces and show that they are either subgroups (``smaller'' Damek-Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.
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    zbMATH Keywords
    totally geodesic submanifold
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    Damek-Ricci space
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    Identifiers

    Mathematics Subject Classification ID
    53B25
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    53C30
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    53C25
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    53C35
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    zbMATH DE Number
    7367552
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    OpenAlex ID
    W3096187716
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    DOI
    10.4171/RMI/1228
    0 references
     
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