9 citations · 36 across the 23 of their papers we have counts for
6 papers · 1 filter
Local curvature estimates along the -LYZ flow
Yi Li, Yuan Yuan
In this paper we prove a local curvature estimate for the -LYZ flow over Kähler manifolds introduced in [FGP1] and [LYZ]. In particular, we generalize the long time existence of…
Bergman metric on the symmetrized bidisc and its consequences
Gunhee Cho, Yuan Yuan
On the symmetrized bidisc G2 with the Bergman metric, the holomorphic sectional curvature is negatively pinched and the holomorphic bisectional curvature is not. The consequences i…
Diameter Rigidity for Kähler manifolds with positive bisectional curvature
Gang Liu, Yuan Yuan
Let be a compact Kähler manifold with bisectional curvature bounded from below by . If and , we prove tha…
Kahler submanifolds and the Umehara algebra
Xiaoliang Cheng, Antonio J. Di Scala, Yuan Yuan
We show that an indefinite Euclidean complex space is not a relative of an indefinite non-flat complex space form. We further study whether two compact Fubini-Study spaces are rela…
Metric flips with Calabi ansatz
Jian Song, Yuan Yuan
We study the limiting behavior of the Kahler-Ricci flow on , assuming the initial metri…
On the Convergence of a Modified Kaehler-Ricci flow
Yuan Yuan
We study the convergence of a modified Kaeher-Ricci flow defined by Zhou Zhang. We show that the flow converges to a singular metric when the limit class is degenerate. This proves…