14 citations · 25 across the 3 of their papers we have counts for
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math.DG2007
An affine sphere equation associated to Einstein toric surfaces
Toshiki Mabuchi
As seen in the works of Calabi, Cheng-Yau and Loftin, affine sphere equations have a close relationship with Kaehler-Einstein metrics. The main purpose of this note is to show that…
math.DG2004★ 14 cited
Stability of extremal Kähler manifolds
Toshiki Mabuchi
In this paper, by generalizing the concept of balanced metrics, we shall show that Donaldson's asymptotic approximation of balanced metrics for constant scalar curvature cases can…
math.DG2004★ 11 cited
An obstruction to asymptotic semistability and approximate critical metrics
Toshiki Mabuchi
In this paper, we consider an obstruction to asymptotic Chow-semistability of a polarized Kaehler algebraic manifold. Even when a linear algebraic group of positive dimension acts…