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math.DG2026
Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
Junming Xie
In this paper, we prove that any complete, compact or noncompact, almost-Kähler gradient shrinking Ricci soliton is Kähler in arbitrary even dimension. Among other applications, co…
math.DG2026
A note on the classification of four-dimensional gradient steady and expanding Ricci solitons
Huai-Dong Cao, Junming Xie
In this note, we study the classification of four-dimensional complete gradient steady and expanding Ricci solitons. Specifically, under the asymptotically cylindrical (respectivel…