Conformally flat real hypersurfaces in nonflat complex planes |
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Authors: | Yaning Wang |
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Institution: | School of Mathematics and Information Sciences, Henan Normal University, Xinxiang 453007, Henan, PR China |
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Abstract: | In this paper, we prove that there are no conformally flat real hypersurfaces in nonflat complex space forms of complex dimension two provided that the structure vector field is an eigenvector field of the Ricci operator. This extends some recent results by Cho (Conformally flat normal almost contact 3-manifolds, Honam Math. J. 38 (2016) 59–69) and Kon (3-dimensional real hypersurfaces with η-harmonic curvature, in: Hermitian–Grassmannian Submanifolds, Springer, Singapore, 2017, pp. 155–164). |
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