## Journal of the Mathematical Society of Japan

### A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space

#### 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.

#### Article information

Source
J. Math. Soc. Japan Volume 61, Number 1 (2009), 315-325.

Dates
First available in Project Euclid: 9 February 2009

http://projecteuclid.org/euclid.jmsj/1234189038

Digital Object Identifier
doi:10.2969/jmsj/06110315

Mathematical Reviews number (MathSciNet)
MR2272881

Zentralblatt MATH identifier
1159.53012

Subjects

#### Citation

MAEDA, Sadahiro; ADACHI, Toshiaki; KIM, Young Ho. A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space. J. Math. Soc. Japan 61 (2009), no. 1, 315--325. doi:10.2969/jmsj/06110315. http://projecteuclid.org/euclid.jmsj/1234189038.

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