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math.DG2026
Soliton-type metrics associated with weighted CSCK metrics on Fano manifolds
Satoshi Nakamura
We study weighted constant scalar curvature Kähler metrics, introduced by Lahdili as -CSCK metrics, on Fano manifolds and their relationship with soliton-type metrics. In th…
math.DG2024
Continuity method for the Mabuchi soliton on the extremal Fano manifolds
Tomoyuki Hisamoto, Satoshi Nakamura
We run the continuity method for Mabuchi's generalization of Kähler-Einstein metrics, assuming the existence of an extremal Kähler metric. It gives an analytic proof (without minim…