@misc{10481/87322,
year = {2021},
url = {https://hdl.handle.net/10481/87322},
abstract = {First we introduce the notions of $\eta$-parallel and $\eta$-commuting shape operator for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_m SO_2$. Next we give a complete classification of real hypersurfaces in the complex quadric $Q^m$ with such king of shape operators. By virtue of this classification we give a new characterization of ruled real hypersurfaces foliated by complex totally geodesic hyperplanes $Q^{m-1}$ in $Q^m$ whose unit normal vector field in $Q^m$ is $\mathfrak{A}$-principal.},
organization = {JSPS KAKENHI Grant Number JP20K03575},
organization = {NRF-2019-R1I1A1A-01050300},
organization = {MCT-FEDER project MTM-2016-78807-C2-1-P},
organization = {NRF-2018-R1D1A1B-05040381},
keywords = {$\eta$-Parallel shape operator},
keywords = {$\mathfrak{A}$-isotropic},
keywords = {$\mathfrak{A}$-principal},
keywords = {Ruled real hypersurface},
keywords = {Complex conjugation},
keywords = {Complex quadric},
title = {Ruled Real Hypersurfaces in he Complex Quadric},
doi = {10.1007/s12220-020-00564-2},
author = {Kimura, Makoto and Lee, Hyunjin and Pérez Jiménez, Juan De Dios and Suh, Young Jin},
}