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