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Cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex quadric

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Abstract

First we introduce the notion of cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex quadric \(Q^m = \textrm{SO}_{m+2}/\textrm{SO}_m\textrm{SO}_2\). Next we give a classification of real hypersurfaces in the complex quadric \(Q^m = \textrm{SO}_{m+2}/\textrm{SO}_m\textrm{SO}_2\) with cyclic structure Jacobi semi-symmetric tensor according to the \(\mathfrak A\)-principal or \(\mathfrak A\)-isotropic unit normal vector field.

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  1. Department of Mathmatics and RIRCM, Kyungpook National University, Daegu, 41566, Republic of Korea

    Young Jin Suh

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This work was supported by Grants Proj. No. NRF-2018-R1D1A1B-05040381 & NRF-2021-R1C1C-2009847 from National Research Foundation of Korea.

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Suh, Y.J. Cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex quadric. Math. Z. 303, 35 (2023). https://doi.org/10.1007/s00209-022-03201-6

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