Real Hypersurfaces in Complex Two-Plane Grassmannians
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The complex two-plane Grassmannian G2(C m+2 in equipped with both a Kähler and a quaternionic Kähler structure. By applying these two structures to the normal bundle of a real hypersurface M in G2(C m+2 one gets a one- and a three-dimensional distribution on M. We classify all real hypersurfaces M in G2C m+2 , m≥3, for which these two distributions are invariant under the shape operator of M.
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