Resumen de Ruled Real Hypersurfaces in a Nonflat: quaternionic Space Form

Toshiaki Adachi, Sadahiro Maeda, Seiichi Udagawa

• In this paper we construct many ruled real hypersurfaces in a nonflat quaternionic space form systematically, and in particular give an example of a homogeneous ruled real hypersurface in a quaternionic hyperbolic space. In the second half of this paper we characterize them by investigating the extrinsic shape of their geodesics. We also characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms from the same viewpoint.