Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 50
2017-03 発行

Geometry of ruled real hypersurfaces in a nonflat complex space form

Maeda, Sadahiro
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This paper is the survey of the works with T. Adachi, H. Tanabe and M. Kimura. Ruled real hypersurfaces are typical examples of non-Hopf hypersurfaces in a nonflat complex space form. These examples are constructed by the same method in a complex projective space and a complex hyperbolic space. We shall explain geometric properties of ruled real hypersurfaces which depend on the sign of the sectional curvature of those ambient spaces.