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math.DG2023
The Calabi-Yau Equation on Symplectic Manifolds
Qiang Tan, Hongyu Wang
By using the global deformation of almost complex structures which are compatible with a symplectic form off a Lebesgue measure zero subset, we construct a (measurable) Lipschitz K…
math.DG2023
-Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture
Teng Huang, Qiang Tan, Pan Zhang
In this article, we develop an -Hodge theory on complete -dimensional almost Kähler manifolds . In the first part, we establish several identities for various Lap…