Real Hypersurfaces with Killing Shape Operator in the Complex Quadric
Identificadores
URI: https://hdl.handle.net/10481/87329Metadata
Show full item recordMateria
Killing shape operator $\mathfrak{A}$-isotropic $\mathfrak{A}$-principal Kähler structure Complex conjugation Complex quadric
Date
2017-12-12Sponsorship
NRF-2015-R1A2A1201002459 from National Research Foundation of Korea.; MCT-FEDER Project MTM-2013-47828-C2-1-P; NRF-2017-R1A2B4005317Abstract
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.