23 citations · 57 across the 13 of their papers we have counts for
8 papers · 1 filter
A moment map picture of relative balanced metrics on extremal Kähler manifolds
Yuji Sano, Carl Tipler
We give a moment map interpretation of some relatively balanced metrics. As an application, we extend a result of S. K. Donaldson on constant scalar curvature Kähler metrics to the…
Extremal metrics and lower bound of the modified K-energy
Yuji Sano, Carl Tipler
We provide a new proof of a result of X.X.Chen and G.Tian : for a polarized extremal Kähler manifold, an extremal metric attains the minimum of the modified K-energy. The proof use…
Lower diameter bounds for compact shrinking Ricci solitons
Akito Futaki, Yuji Sano
It is shown that the diameter of a compact shrinking Ricci soliton has a universal lower bound. This is proved by extending universal estimates for the first non-zero eigenvalue of…
Multiplier ideal sheaves and geometric problems
Akito Futaki, Yuji Sano
In this expository article we first give an overview on multiplier ideal sheaves and geometric problems in Kählerian and Sasakian geometries. Then we review our recent results on t…
An example of asymptotically Chow unstable manifolds with constant scalar curvature
Hajime Ono, Yuji Sano, Naoto Yotsutani
Donaldson proved that if a polarized manifold has constant scalar curvature Kähler metrics in and its automorphism group Aut is discrete, is asympto…
Multiplier ideal sheaves and the Kähler-Ricci flow on toric Fano manifolds with large symmetry
Yuji Sano
The purpose of this paper is to calculate the support of the multiplier ideal sheaves derived from the Kähler-Ricci flow on certain toric Fano manifolds with large symmetry. The ea…