English

Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature

Differential Geometry 2011-05-31 v1

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.

Keywords

Cite

@article{arxiv.1105.5807,
  title  = {Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature},
  author = {Ines Kath},
  journal= {arXiv preprint arXiv:1105.5807},
  year   = {2011}
}

Comments

7 pages