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math.DG2026
Almost-product Kähler surfaces
Andrzej Derdzinski, JeongHyeong Park
We study the case where the tangent bundle of a Kähler surface splits orthogonally into two integrable complex-line subbundles. This amounts to the presence of a unit-length closed…
math.DG2026
Scalar-flat Kähler surfaces whose Weyl tensor annihilates the Ricci form
Andrzej Derdzinski, Sinhwi Kim, JeongHyeong Park
We conjecture that any scalar-flat Kähler surface in which the Weyl tensor acting on 2-forms annihilates the Ricci form must be either Ricci-flat or locally isometric to a Riemanni…