Abstract
It is well-known that there exist no homogeneous ruled real hypersurfaces in a complex projective space. On the contrary there exists the unique homogeneous ruled real hypersurface in a complex hyperbolic space. Moreover, it is minimal. We characterize geometrically this minimal homogeneous real hypersurface by properties of extrinsic shapes of some curves.
Citation
Sadahiro MAEDA. Toshiaki ADACHI. Young Ho KIM. "A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space." J. Math. Soc. Japan 61 (1) 315 - 325, January, 2009. https://doi.org/10.2969/jmsj/06110315
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