Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature

Details Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature

2011-05-29

arxiv.org/abs/1105.5807v1

Mathematics

Differential Geometry

7 pages

Scientific paper

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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