Ruled Real Hypersurfaces in a Nonflat Quaternionic Space Form |
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Authors: | Toshiaki Adachi Sadahiro Maeda Seiichi Udagawa |
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Institution: | (1) Nagoya Institute of Technology, Japan;(2) Shimane University, Japan;(3) Nihon University, Tokyo, Japan |
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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.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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Keywords: | 2000 Mathematics Subject Classifications: 53B25 53C40 |
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