Resumen de Real hypersurfaces in the complex hyperbolic quadric with Reeb invariant Ricci tensor

Doo Hyun Hwang, Hyunjin Lee, Young Jin Suh

• We first give the notion of Reeb invariant Ricci tensor for real hypersurfaces M in the complex quadric Qm∗ = SO0 2,m/SO2SOm, which is defined by Lξ Ric = 0, where Ric denotes the Ricci tensor of M in Qm∗ , and Lξ the Lie derivative along the direction of the Reeb vector field ξ = −JN. Next we give a complete classification of real hypersurfaces in the complex hyperbolic quadric Qm∗ = SO0 2,m/SO2SOm with Reeb invariant Ricci tensor.