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 $M_{n}(c)$.
Citation
U-Hang KI. Setsuo NAGAI. Ryoichi TAKAGI. "Structure Jacobi Operator of Real Hypersurfaces with Constant Scalar Curvature in a Nonflat Complex Space Form." Tokyo J. Math. 30 (2) 441 - 454, December 2007. https://doi.org/10.3836/tjm/1202136687
Information