11 citations · 28 across the 11 of their papers we have counts for
11 papers
Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein
Yasufumi Nitta
We prove that every extremal Kähler--Ricci soliton on a Fano manifold is Kähler--Einstein. This solves the problem of Calamai and Petrecca in full generality.
Mabuchi solitons and Mabuchi constants on Fano admissible manifolds
Shotaro Murayama, Yasufumi Nitta
In this paper, we study the existence of Mabuchi solitons on admissible manifolds as defined by Apostolov--Calderbank--Gauduchon--Tønnesen-Friedman. We prove that a Fano admissible…
Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Vestislav Apostolov, Abdellah Lahdili, Yasufumi Nitta
Using the Yau-Tian-Donaldson type correspondence for -solitons established by Han-Li, we show that a smooth complex -dimensional Fano variety admits a Mabuchi soliton provide…
A uniform version of the Yau-Tian-Donaldson correspondence for extremal Kähler metrics on polarized toric manifolds
Yasufumi Nitta, Shunsuke Saito
The aim of this paper is to solve a uniform version of the Yau-Tian-Donaldson conjecture for polarized toric manifolds. Also, we show a combinatorial sufficient condition for unifo…
Strong K-stability and asymptotic Chow-stability
Toshiki Mabuchi, Yasufumi Nitta
For a polarized algebraic manifold , let be an algebraic torus in the group of all holomorphic automorphisms of . Then strong relative K-stability will be shown to im…
Tau functions of KP solitons realized in Wiener space
Hidemi Aihara, Jiro Akahori, Hiroko Fujii +1
In this paper, a probabilistic representation of the tau functions of KP (Kadomtsev-Petviashvili) solitons in terms of stochastic areas will be presented.