Geometric properties of the curvature operator (Q2735661)

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scientific article; zbMATH DE number 1641136
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Geometric properties of the curvature operator
scientific article; zbMATH DE number 1641136

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    25 November 2002
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    Riemannian manifold
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    curvature tensor
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    Jacobi operator
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    Geometric properties of the curvature operator (English)
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    This is a survey of literature and exposition on geometric conditions which are imposed when one of the curvature operators (Jacobi \(J_R(X):Y\mapsto R(Y,X)X\), Szabo \(S_R(X): Y \mapsto (\nabla _XR)(Y,X)X\) and some others) has constant eigenvalues.NEWLINENEWLINEFor the entire collection see [Zbl 0954.00038].
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