We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -princ...We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -principal or -isotropic. Then according to each case, we give a complete classification of Hopf real hypersurfaces in Qm = SOm＋2/SOmSO2 with commuting Ricci tensor.展开更多
We introduce a new notion of pseudo-anti commuting Ricci tensor for real hypersurfaces in the noncompact complex hyperbolic quadric Q^(m?)= SO_2~0,_m/SO_2SO_m and give a complete classi?cation of these hypersurfaces.
基金supported by National Research Foundation of Korea (Grant No. NRF2015-R1A2A1A-01002459)
文摘We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -principal or -isotropic. Then according to each case, we give a complete classification of Hopf real hypersurfaces in Qm = SOm＋2/SOmSO2 with commuting Ricci tensor.
基金supported by National Research Foundation of Korea (Grant No. NRF2015-R1A2A1A-01002459)
文摘We introduce a new notion of pseudo-anti commuting Ricci tensor for real hypersurfaces in the noncompact complex hyperbolic quadric Q^(m?)= SO_2~0,_m/SO_2SO_m and give a complete classi?cation of these hypersurfaces.
