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This research aims to generalize results related to local holomorphic maps and their properties in Hermitian manifolds.

March 15, 2026Proceedings of the American Mathematical Society

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

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This research aims to generalize results related to local holomorphic maps and their properties in Hermitian manifolds.

Implication

local holomorphic maps show rigidity and non-existence theorems for (p,p)-forms in hermitian manifolds.

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 ) (p,p) -forms. In particular, we obtain further rigidity theorems and non-existence theorems for such maps.

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Shan Tai Chan (2026) studied this question.

synapsesocial.com/papers/69b606ea83145bc643d1d661 https://doi.org/10.1090/proc/17607

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Implication

local holomorphic maps show rigidity and non-existence theorems for (p,p)-forms in hermitian manifolds.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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