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An estimate on the codimension of local isometric imbeddings of compact Lie groups - MaRDI portal

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An estimate on the codimension of local isometric imbeddings of compact Lie groups (Q1327732)

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scientific article; zbMATH DE number 597297
Language Label Description Also known as
English
An estimate on the codimension of local isometric imbeddings of compact Lie groups
scientific article; zbMATH DE number 597297

    Statements

    An estimate on the codimension of local isometric imbeddings of compact Lie groups (English)
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    16 March 1995
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    Some necessary conditions in order that an \(n\)-dimensional Riemannian manifold \((M,g)\) may be locally isometrically (or conformally) imbedded into \(\mathbb{R}^{n + 2}\) in terms of some new quantity associated with \((M,g)\) are given. The same problem is considered for a Riemannian symmetric space \(M = G/K\).
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    Gauss equation
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    isometric immersion
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    Riemannian symmetric space
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