Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kähler manifolds

In this paper, we give an affirmative answer to a conjecture of Collins-Yau [ 8 ]. We investigate the Chern number inequalities on 4-dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption θ ^ ∈ ( π , 2 π ) .

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Bibliographic Details
Published inManuscripta mathematica Vol. 174; no. 3-4; pp. 963 - 972
Main Authors Han, Xiaoli, Jin, Xishen
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2024
Springer Nature B.V
Subjects
Algebraic Geometry
Calculus of Variations and Optimal Control; Optimization
Deformation
Geometry
Inequalities
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
Secondary 53D37
Primary 53C55
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Summary:In this paper, we give an affirmative answer to a conjecture of Collins-Yau [ 8 ]. We investigate the Chern number inequalities on 4-dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption θ ^ ∈ ( π , 2 π ) .
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-023-01531-1