Abstract
In this paper, we prove that if the structure Jacobi operator of a $3$-dimen\-sional real hypersurface in a nonflat complex plane is of Killing type, then the hypersurface is either a tube of radius $\frac{\pi}{4}$ over a holomorphic curve in $\mathbb{C}P^2$ or a Hopf hypersurface with vanishing Hopf principal curvature in $\mathbb{C}H^2$. This extends the corresponding results in [6].
Citation
Yaning Wang. Wenjie Wang. "Real hypersurfaces with Killing type structure Jacobi operators in $\mathbb{C}P^2$ and $\mathbb{C}H^2$." Bull. Belg. Math. Soc. Simon Stevin 25 (3) 403 - 414, september 2018. https://doi.org/10.36045/bbms/1536631235
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