CR relatives Kaehler manifolds

2021/09/27 by Stefano Marini, Marini, Stefano, Michela Zedda +1
Mathematics · #32Q40 #32V30 #32V40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2109.13039

openalex publication_date 2021/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we show that two Kähler manifolds which do not share a Kähler submanifold, do not share either a Levi degenerate CR-submanifold with constant dimension Levi kernel. In particular, they do not share a CR-product. Further, we obtain that a Levi degenerate CR-submanifold of \mathbb Cⁿ cannot be isometrically immersed into a flag manifold.

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