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Non-existence of conformally flat real hypersurfaces in both the complex quadric and the complex hyperbolic quadric

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Abstract In this paper, by applying for a new approach of the so-called Tsinghua principle, we prove the nonexistence of locally conformally flat real hypersurfaces in both the m-dimensional complex… Click to show full abstract

Abstract In this paper, by applying for a new approach of the so-called Tsinghua principle, we prove the nonexistence of locally conformally flat real hypersurfaces in both the m-dimensional complex quadric $Q^m$ and the complex hyperbolic quadric $Q^{m\ast }$ for $m\ge 3$ .

Keywords: conformally flat; real hypersurfaces; quadric; complex quadric; flat real; quadric complex

Journal Title: Canadian Mathematical Bulletin
Year Published: 2021

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