Biharmonic hypersurfaces in Riemannian symmetric spaces. II (Q1695767)

This is the second part of the authors' work [ibid. 46, No. 1, 97--121 (2016; Zbl 1350.58005)]. In this part, the authors give further construction of biharmonic hypersurfaces in Riemannian symmetric spaces including real, complex, and quaternion Grassmannian manifolds. Here, a key ingredient is that the symmetric space is an Einstein manifold in which the equation for biharmonic hypersurfaces has simplest form [\textit{Y.-L. Ou}, Pac. J. Math. 248, No. 1, 217--232 (2010; Zbl 1205.53066)]: \(|A|^2=1/2\). The hypersurfaces studied in the paper included those defined by the tubes around some totally geodesic submanifolds and some geodesic spheres of certain radii.