## Nihonkai Mathematical Journal

### Ricci pseudo $\eta$-parallel real hypersurfaces

Mayuko Kon

#### Abstract

We prove that the Ricci tensor of a real hypersurface of a complex space form $M^n(c)$, $c\neq 0$, $n\geq 3$, satisfies Ricci pseudo $\eta$-parallel condition if and only if $M$ is pseudo-Einstein.

#### Article information

Source
Nihonkai Math. J., Volume 24, Number 1 (2013), 45-55.

Dates
First available in Project Euclid: 5 September 2013

https://projecteuclid.org/euclid.nihmj/1378408116

Mathematical Reviews number (MathSciNet)
MR3114124

Zentralblatt MATH identifier
1285.53013

#### Citation

Kon, Mayuko. Ricci pseudo $\eta$-parallel real hypersurfaces. Nihonkai Math. J. 24 (2013), no. 1, 45--55. https://projecteuclid.org/euclid.nihmj/1378408116

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