On local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms
Differential Geometry
2026-03-02 v3 Complex Variables
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 -forms. In particular, we obtain further rigidity theorems and non-existence theorems for such maps.
Cite
@article{arxiv.2512.07460,
title = {On local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms},
author = {Shan Tai Chan},
journal= {arXiv preprint arXiv:2512.07460},
year = {2026}
}
Comments
To appear in Proceedings of the American Mathematical Society; V2: Corrections of typos and minor errors in the proof of Lemma 4.3; V3: Minor changes in the proof of Theorem 4.1