Abstract.
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.
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The first author was partially supported by Grant-in-Aid for Scientific Research (C) (No. 14540075), Ministry of Education, Science, Sports and Culture.
The second author was partially supported by Grant-in-Aid for Scientific Research (C) (No. 14540080), Ministry of Education, Science, Sports and Culture.
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Adachi, T., Maeda, S. & Udagawa, S. Ruled Real Hypersurfaces in a Nonflat Quaternionic Space Form. Mh Math 145, 179–190 (2005). https://doi.org/10.1007/s00605-004-0283-y
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DOI: https://doi.org/10.1007/s00605-004-0283-y