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The constancy of principal curvatures of curvature-adapted submanifolds in symmetric spaces (1310.0649v6)
Published 2 Oct 2013 in math.DG
Abstract: In this paper, we investigate complete curvature-adapted submanifolds with maximal flat section and trivial normal holonomy group in symmetric spaces of compact type or non-compact type under certain condition, and derive the constancy of the principal curvatures of such submanifolds. As its result, we can derive that such submanifolds are isoparametric.