Real hypersurfaces in the complex quadric with commuting Ricci tensor

2015/12/10 by Young Jin Suh, Doo Hyun Hwang · 3 citations
Mathematics · #math.DG #msc:53C40 #msc:53C55

paper · pdf · doi:10.1016/j.geomphys.2016.03.001

arxiv created 2015/12/10 · arxiv updated 2016/05/04

Abstract

We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Q^m = SO_m+2/SO_mSO₂ . It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes \frak A-principal or \frak A-isotropic. Then according to each case, we give a complete classification of real hypersurfaces in Q^m = SO_m+2/SO_mSO₂ with commuting Ricci tensor.

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