CYCLIC RICCI SEMISYMMETRIC REAL HYPERSURFACES IN THE COMPLEX QUADRIC

Changhwa Woo; Gyu Jong Kim; Young Jin Suh

doi:10.1216/rmj.2023.53.589

Abstract

We introduce the notion of cyclic Ricci semisymmetric real hypersurfaces in the complex quadric $Q^m = SO_{m + 2} / SO_m SO_2$ . We also give a classification of real hypersurfaces in the complex quadric $Q^m = SO_{m + 2} / SO_m SO_2$ with cyclic semisymmetric Ricci tensor.

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Changhwa Woo. Gyu Jong Kim. Young Jin Suh. "CYCLIC RICCI SEMISYMMETRIC REAL HYPERSURFACES IN THE COMPLEX QUADRIC." Rocky Mountain J. Math. 53 (2) 589 - 609, April 2023. https://doi.org/10.1216/rmj.2023.53.589

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Received: 14 February 2021; Accepted: 28 May 2022; Published: April 2023

First available in Project Euclid: 20 June 2023

MathSciNet: MR4604776

zbMATH: 1520.53050

Digital Object Identifier: 10.1216/rmj.2023.53.589

Subjects:

Primary: 53C40

Secondary: 53C55

Keywords: complex conjugation , complex quadric , cyclic Ricci semisymmetric , 𝔄-isotropic , Kähler structure , 𝔄-principal

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