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On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time. (English. French summary) Zbl 1275.53023

Summary: For an extrinsic symmetric space \(M\) in Minkowski space-time, we prove that if \(M\) is space-like with zero mean curvature, then it is totally geodesic and if \(M\) is time-like with zero mean curvature, then it is totally geodesic or it is a flat hypersurface.

MSC:

53B25 Local submanifolds
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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References:

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