95 citations · 474 across the 45 of their papers we have counts for
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Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type
Yasuhiro Nakagawa, Satoshi Nakamura
In this article we focus on multiplier Hermitian-Einstein metrics introduced by Mabuchi which include Kähler-Einstein metrics, Kähler-Ricci solitons and Mabuchi solitons as special…
Deformation for coupled Kähler-Einstein metrics
Satoshi Nakamura
The notion of coupled Kähler-Einstein metrics was introduced recently by Hultgren-WittNyström. In this paper we discuss deformation of a coupled Kähler-Einstein metrics on a Fano m…
Calabi type functionals for coupled Kähler-Einstein metrics
Satoshi Nakamura
We introduce the coupled Ricci-Calabi functional and the coupled H-functional which measure how far from a coupled Kähler-Einstein metric in the sense of Hultgren-Witt Nyström. We…
Hessian of the Ricci Calabi functional
Satoshi Nakamura
The Ricci Calabi functional is a functional on the space of Kähler metrics of Fano manifolds. Its critical points are called generalized Kähler Einstein metrics. In this article, w…
Remarks on modified Ding functional for toric Fano manifolds
Satoshi Nakamura
We give a characterization of relative Ding stable toric Fano manifolds in terms of the behavior of the modified Ding functional. We call the corresponding behavior of the modified…
Generalized Kähler Einstein metrics and uniform stability for toric Fano manifolds
Satoshi Nakamura
We give a complete criterion for the existence of generalized Kähler Einstein metrics on toric Fano manifolds from view points of a uniform stability in a sense of GIT and the prop…