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math.DG2022
Rigidity of four-dimensional Kähler-Ricci solitons
Xiaodong Cao, Ernani Ribeiro, Hung Tran
In this article, we investigate four-dimensional gradient shrinking Ricci solitons close to a Kähler model. The first theorem could be considered as a rigidity result for the Kähle…
math.DG2022
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons
Xu Cheng, Ernani Ribeiro, Detang Zhou
In this article, we investigate the geometry of -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential functio…