Real Hypersurfaces with Killing Shape Operator in the Complex Quadric Pérez Jiménez, Juan De Dios Jeong, Imsoon Ko, Junhyung Suh, Young Jin Killing shape operator $\mathfrak{A}$-isotropic $\mathfrak{A}$-principal Kähler structure Complex conjugation Complex quadric We introduce the notion of Killing shape operator for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_m SO_2$. The Killing shape operator condition implies that the unit normal vector field $N$ becomes $\mathfrak{A}$-principal or $\mathfrak{A}$-isotropic. Then according to each case, we give a complete classification of Hopf real hypersurfaces in $Q^m = SO_{m+2}/SO_m SO_2$ with Killing shape operator. 2024-01-26T08:32:51Z 2024-01-26T08:32:51Z 2017-12-12 journal article https://hdl.handle.net/10481/87329 https://doi.org/10.1007/s00009-017-1052-1 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional