A construction of curvature-adapted hypersurfaces in the product of symmetric spaces
Abstract
In this paper, we give a construction of curvature-adapted hypersurfaces in the product G1/K1× G2/K2 of (Riemannian) symmetric spaces Gi/Ki (i=1,2). By this construction, we obtain many examples of curvature-adapted hypersurfaces in G1/K1× G2/K2. Also, we calculate the eigenvalues of the shape operator and the normal Jacobi operator of the curvature-adapted hypersurfaces obtained by this construction.
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