Biharmonic hypersurfaces in Riemannian symmetric spaces. II
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.
Riemannian symmetric spaces of type DIII
Riemannian symmetric spaces of type EIII
scientific article; zbMATH DE number 6836010