Curvature-adapted real hypersurfaces in quaternionic space forms (Q5940261)

In this paper the authors study curvature-adapted real hypersurfaces in quaternionic space forms. A hypersurface of a Riemannian manifold is called curvature-adapted if the normal Jacobi operator of the manifold commutes with the shape operator of the hypersurface. In particular they classify real hypersurfaces in quaternionic projective spaces respecting hyperbolic spaces according to the extrinsic shape of the geodesics. Furthermore they investigate the length spectrum of geodesic spheres in quaternionic space forms. They are the simplest curvature-adapted real hypersurfaces.