9 citations · 18 across the 5 of their papers we have counts for
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math.DG2000
Ricci flow on Kaehler-Einstein surfaces
Xiuxiong Chen, Gang Tian
In this paper, we construct a set of new functionals of Ricci curvature on any Kaehler manifolds which are invariant under holomorphic transfermations in Kaehler Einstein manifolds…
math.DG2000
A new parabolic flow in Kaehler manifolds
Xiuxiong Chen
In this paper, we introduce a new parabolic equation on Kähler manifolds. The static point of this flow is related to the existence of a lower bound of the Mabuchi energy. In this…
math.DG2000
Calabi flow in Riemann surfaces revisited: A new point of view
Xiuxiong Chen
In this paper, we observe a set of functionals of metrics which are all decrease under the Calabi flow and have uniform lower bound along the flow, which give rise to a set of inte…