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Real hypersurfaces in the complex quadric with commuting Ricci tensor

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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 m SO 2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes A-principal or 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 commuting Ricci tensor.

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Authors and Affiliations

  1. Department of Mathematics, Kyungpook National University, Daegu, 41566, Republic of Korea

    Young Jin Suh & Doo Hyun Hwang

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  1. Young Jin Suh
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  2. Doo Hyun Hwang
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Correspondence to Young Jin Suh.

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Suh, Y.J., Hwang, D.H. Real hypersurfaces in the complex quadric with commuting Ricci tensor. Sci. China Math. 59, 2185–2198 (2016). https://doi.org/10.1007/s11425-016-0067-7

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  • DOI: https://doi.org/10.1007/s11425-016-0067-7

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