60 citations · 70 across the 4 of their papers we have counts for
4 papers
Einstein metrics and GIT stability
Akito Futaki, Hajime Ono
In this expository article we review the problem of finding Einstein metrics on compact Kähler manifolds and Sasaki manifolds. In the former half of this article we see that, in th…
Multiplier ideal sheaves and integral invariants on toric Fano manifolds
Akito Futaki, Yuji Sano
We extend Nadel's results on some conditions for the multiplier ideal sheaves to satisfy which are described in terms of an obstruction defined by the first author. Applying our ex…
Holomorphic vector fields and perturbed extremal Kähler metrics
Akito Futaki
We prove a theorem which asserts that the Lie algebra of all holomorphic vector fields on a compact Kähler manifold with a perturbed extremal metric has the structure similar to th…
Uniqueness and examples of compact toric Sasaki-Einstein metrics
Koji Cho, Akito Futaki, Hajime Ono
In [11] it was proved that, given a compact toric Sasaki manifold of positive basic first Chern class and trivial first Chern class of the contact bundle, one can find a deformed S…