## Tokyo Journal of Mathematics

### Structure Jacobi Operator of Real Hypersurfaces with Constant Scalar Curvature in a Nonflat Complex Space Form

#### Abstract

Let $M$ be a real hypersurface with almost contact metric structure $(\phi ,\xi ,\eta ,g)$ in a nonflat complex space form $M_{n}(c)$. We denote by $S$ be the Ricci tensor of $M$. In the present paper we investigate real hypersurfaces with constant scalar curvature of $M_{n}(c)$ whose structure Jacobi operator $R_{\xi}$ commute with both $\phi$ and $S$. We characterize Hopf hypersurfaces of $M_{n}(c)$.

#### Article information

Source
Tokyo J. Math., Volume 30, Number 2 (2007), 441-454.

Dates
First available in Project Euclid: 4 February 2008

https://projecteuclid.org/euclid.tjm/1202136687

Digital Object Identifier
doi:10.3836/tjm/1202136687

Mathematical Reviews number (MathSciNet)
MR2376520

Zentralblatt MATH identifier
1145.53043

#### Citation

KI, U-Hang; NAGAI, Setsuo; TAKAGI, Ryoichi. Structure Jacobi Operator of Real Hypersurfaces with Constant Scalar Curvature in a Nonflat Complex Space Form. Tokyo J. Math. 30 (2007), no. 2, 441--454. doi:10.3836/tjm/1202136687. https://projecteuclid.org/euclid.tjm/1202136687

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