Semisimplicity of indefinite extrinsic symmetric spaces and mean\n curvature

2011/05/29 by Ines Kath, Kath, Ines
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1105.5807

openalex publication_date 2011/05/29 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

Improving a result of Eschenburg and Kim we give a criterion for\nsemisimplicity of pseudo-Riemannian extrinsic symmetric spaces in terms of the\nshape operator with respect to the mean curvature vector.\n

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• Indefinite extrinsic symmetric spaces II
• Indefinite extrinsic symmetric spaces I
• The classification problem for pseudo-Riemannian symmetric spaces
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• The partial positivity of the curvature in Riemannian symmetric spaces