Abstract
Let $M$ be a real hypersurface in a complex space form $M_n(c)$, $c \not= 0$. In this paper, we prove that if the structure Jacobi operator $R_\xi$ is $\phi\nabla_{\xi}\xi$-parallel and $R_\xi$ commute with the Ricci tensor, then $M$ is a Hopf hypersurface provided that the mean curvature of $M$ is constant with respect to the structure vector field.
Citation
U-Hang Ki. Hiroyuki Kurihara. "Commuting structure Jacobi operators for real hypersurfaces in complex space forms II." Tsukuba J. Math. 42 (2) 127 - 154, December 2018. https://doi.org/10.21099/tkbjm/1554170419
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