@misc{10481/87329, year = {2017}, month = {12}, url = {https://hdl.handle.net/10481/87329}, abstract = {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.}, organization = {NRF-2015-R1A2A1201002459 from National Research Foundation of Korea.}, organization = {MCT-FEDER Project MTM-2013-47828-C2-1-P}, organization = {NRF-2017-R1A2B4005317}, keywords = {Killing shape operator}, keywords = {$\mathfrak{A}$-isotropic}, keywords = {$\mathfrak{A}$-principal}, keywords = {Kähler structure}, keywords = {Complex conjugation}, keywords = {Complex quadric}, title = {Real Hypersurfaces with Killing Shape Operator in the Complex Quadric}, doi = {https://doi.org/10.1007/s00009-017-1052-1}, author = {Pérez Jiménez, Juan De Dios and Jeong, Imsoon and Ko, Junhyung and Suh, Young Jin}, }