23 citations · 57 across the 13 of their papers we have counts for
13 papers
Bott manifolds with vanishing Futaki invariants for all Kähler classes
Hajime Ono, Yuji Sano, Naoto Yotsutani
We prove that the only Bott manifolds such that the Futaki invariant vanishes for any Kähler class are isomorphic to the products of the projective lines.
Weight polytopes and energy functionals of toric varieties
Yuji Sano
We prove that the weight polytope of the Hurwitz form of a polarized smooth toric variety coincides with the convex hull of the characteristic vectors introduced in the previous wo…
Characteristic vectors for the Hurwitz polytopes of toric varieties
Ryoma Ogusu, Yuji Sano
We introduce a characteristic vector with respect to a regular triangulation of the momentum polytope to compute the Hurwitz polytope of a given smooth toric variety. As a result,…
Toric Fano manifolds of dimension at most eight with positive second Chern characters
Yuji Sano, Hiroshi Sato, Yusuke Suyama
We show that any toric Fano manifold of dimension at most eight with the positive second Chern character is isomorphic to the projective space by using polymake.
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…