## Tokyo Journal of Mathematics

### Hopf Hypersurfaces with Constant Principal Curvatures in Complex Projective or Complex Hyperbolic Spaces

#### Abstract

A real hypersurface of a complex space form is called a Hopf hypersurface if the characteristic vector field $\xi=-JN$ on $M$ is a principal curvature vector. The main purpose of this paper is to obtain several simple geometric characterizations of all Hopf hypersurfaces with constant principal curvatures in nonflat complex space forms.

#### Article information

Source
Tokyo J. Math., Volume 24, Number 1 (2001), 133-152.

Dates
First available in Project Euclid: 19 October 2009

https://projecteuclid.org/euclid.tjm/1255958318

Digital Object Identifier
doi:10.3836/tjm/1255958318

Mathematical Reviews number (MathSciNet)
MR1844424

Zentralblatt MATH identifier
1015.53039

#### Citation

CHEN, Bang-Yen; MAEDA, Sadahiro. Hopf Hypersurfaces with Constant Principal Curvatures in Complex Projective or Complex Hyperbolic Spaces. Tokyo J. Math. 24 (2001), no. 1, 133--152. doi:10.3836/tjm/1255958318. https://projecteuclid.org/euclid.tjm/1255958318