On local holomorphic maps between Hermitian manifolds preserving (p,p)-forms

2025/12/08 by Chan, Shan Tai
Mathematics · #Geometry and complex manifolds #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows

paper · doi:10.48550/arxiv.2512.07460

Abstract

In this article, we generalize some results in Chan-Yuan [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 26 (2025), 619--644] to local holomorphic maps between Hermitian manifolds preserving (p,p)-forms. In particular, we obtain further rigidity theorems and non-existence theorems for such maps.

Citations

• Gromov-Hausdorff limits and Holomorphic isometries
• Holomorphic isometries between products of complex unit balls
• On local holomorphic maps preserving invariant (p,p)-forms between bounded symmetric domains

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