14 citations · 59 across the 22 of their papers we have counts for
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Collapsing of the line bundle mean curvature flow on Kähler surfaces
Ryosuke Takahashi
We study the line bundle mean curvature flow on Kähler surfaces under the hypercritical phase and a certain semipositivity condition. We naturally encounter such a condition when c…
The Kähler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations
Ryosuke Takahashi
We establish a lower bound for the Donaldson-Futaki invariant of optimal degenerations produced by the Kähler-Ricci flow in terms of the greatest Ricci lower bound on arbitrary Fan…
Geometric quantization of coupled Kähler-Einstein metrics
Ryosuke Takahashi
We study the quantization of coupled Kähler-Einstein (CKE) metrics, namely we approximate CKE metrics by means of the canonical Bergman metrics, so called the ``balanced metrics''.…
Ricci iteration for coupled Kähler-Einstein metrics
Ryosuke Takahashi
In this paper, we introduce the "coupled Ricci iteration", a dynamical system related to the Ricci operator and twisted Kähler-Einstein metrics as an approach to the study of coupl…