Abstract
In Chen (Bull Korean Math Soc 54(3):975–992, 2017), we introduce the notion of *-Ricci tensor in a real hypersurface of complex two-plane Grassmannians \(G_2({\mathbb {C}}^{m+2}),m\ge 3\), and in the present paper we study the characterizations of the Hopf hypersurfaces in \(G_2({\mathbb {C}}^{m+2})\) with parallel, Reeb parallel and Lie Reeb parallel *-Ricci tensor, respectively.
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This research was supported by the Science Foundation of China University of Petroleum-Beijing (No. 2462015YQ0604) and partially by the Personnel Training and Academic Development Fund (2462015QZDX02).
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Chen, X. Real hypersurfaces of complex two-plane Grassmannians with certain parallel conditions. J. Geom. 108, 1157–1174 (2017). https://doi.org/10.1007/s00022-017-0402-2
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DOI: https://doi.org/10.1007/s00022-017-0402-2