Ruled Real Hypersurfaces in a Nonflat: quaternionic Space Form

• Autores: Toshiaki Adachi, Sadahiro Maeda, Seiichi Udagawa
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 145, Nº 3, 2005, págs. 179-190
• Idioma: inglés
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• Resumen

  • 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.