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math.DG2026
Existence of Hermitian metrics with prescribed Hermitian-Yang-Mills tensors II
Jiaxuan Fan, Mingwei Wang, Xiaokui Yang +1
In this paper, we solve the prescribed Hermitian-Yang-Mills tensor problem for Higgs bundles over compact complex manifolds. Let be a Higgs bundle over a compact Hermitia…
math.DG2026
A Proof of the Eigenvalue Ratio Bound for Embedded Surfaces
Ricardo Gloria-Picazzo, Yingying Wu, Shing-Tung Yau
We explain how the spectrum of a closed embedded surface relates to the Dirichlet spectrum of the bounded domain with $\partial Ω= Σ…