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math.DG2014★ 1 cited
On the modified Futaki invariant of complete intersections in projective spaces
Ryosuke Takahashi
It is known that a necessary condition for the existence of Kähler-Ricci solitons is the vanishing of the modified Futaki invariant introduced by Tian-Zhu. In a recent work of Berm…
math.DG2014
Modified Kähler-Ricci flow on projective bundles
Ryosuke Takahashi
In this paper, we propose a method of studying the modified Kahler-Ricci flow on projective bundles and give the explicit equation from the view point of symplectic geometry.