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Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature

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Abstract

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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Acknowledgements

I would like to thank Martin Olbrich for several useful discussions.

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Authors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Walther-Rathenau-Straße 47, 17487, Greifswald, Germany

    Ines Kath

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  1. Ines Kath
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Correspondence to Ines Kath.

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Communicated by V. Cortés.

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Kath, I. Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature. Abh. Math. Semin. Univ. Hambg. 82, 121–127 (2012). https://doi.org/10.1007/s12188-012-0067-6

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  • DOI: https://doi.org/10.1007/s12188-012-0067-6

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