2 problems

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Streets--Tian conjecture on Hermitian-symplectic manifolds
Let $X$ be a compact holomorphic manifold. A Hermitian-symplectic metric is a Hermitian metric that is the $(1,1)$ -component of a closed real $2$ -form. Streets--Tian conjecture. If…
Conjectureopencomplex-geometry hermitian-geometry non-kaehler-geometryarXiv posted 2 days ago
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The balanced Calabi–Yau metric conjecture
The balanced Calabi–Yau metric conjecture. There is a balanced metric $\tilde{\omega}$ with
Conjectureopenbalanced-metrics calabi-yau-manifolds non-kaehler-geometryarXiv posted 2 days ago

Streets--Tian conjecture on Hermitian-symplectic manifolds