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math.DG2026
Rigidity of compact four-dimensional weakly Einstein Ricci Solitons
JeongHyeong Park, Wooseok Shin
We prove that every compact four-dimensional weakly Einstein Ricci soliton is Einstein. The nontrivial compact case reduces to the gradient shrinking setting, where a differential…
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…