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math.DG2026
Torsion algebras of Hermitian manifolds and rigidity
Wangyang Lin, Yibo Ren
We regard the Chern torsion of a Hermitian manifold as a skew-symmetric complex-bilinear product on its holomorphic tangent bundle. For a compact connected Chern--Kähler-like Hermi…
math.DG2024
Explicit formulas for the Hattori-Stong theorem and applications
Ping Li, Wangyang Lin
We employ combinatorial techniques to present an explicit formula for the coefficients in front of Chern classes involving in the Hattori-Stong integrability conditions. We also gi…