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arXiv · 1512.03671

Real hypersurfaces in the complex quadric with commuting Ricci tensor

Young Jin Suh·Doo Hyun Hwang
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Abstract

We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_mSO_2$ . 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 $Q^m = SO_{m+2}/SO_mSO_2$ with commuting Ricci tensor.

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Young Jin Suh, Doo Hyun Hwang. 2015-12-10. Real hypersurfaces in the complex quadric with commuting Ricci tensor. https://doi.org/10.1016/j.geomphys.2016.03.001

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