On Pseudo-Einstein Real Hypersurfaces

2017/12/20 by Mayuko Kon, Kon, Mayuko
Mathematics · Physics and Astronomy · #53B25 #53C25 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1712.07360

openalex publication_date 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a real hypersurface of a complex space form Mⁿ(c), c≠0, n≥ 3. We show that the Ricci tensor S of M satisfies S(X,Y)=ag(X,Y) for any vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface.

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