Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature
classification
🧮 math.DG
keywords
curvatureextrinsicmeansemisimplicityspacessymmetriccriterioneschenburg
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Improving a result of Eschenburg and Kim we give a criterion for semisimplicity of pseudo-Riemannian extrinsic symmetric spaces in terms of the shape operator with respect to the mean curvature vector.
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