100 citations · 154 across the 14 of their papers we have counts for
14 papers
Contractibility results for certain spaces of Riemannian metrics on the disc
Alessandro Carlotto, Damin Wu
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For instance, this result applies to the space of metrics that have positive Gauss cur…
Invariant metrics on negatively pinched complete Kähler manifolds
Damin Wu, Shing-Tung Yau
We prove that a complete Kähler manifold with holomorphic curvature bounded between two negative constants admits a unique complete Kähler-Einstein metric. We also show this metric…
A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"
Damin Wu, Shing-Tung Yau
This is a continuation of our first paper in [WY16]. There are two purposes of this paper: One is to give a proof of the main result in [WY16] without going through the argument de…
Negative Holomorphic curvature and positive canonical bundle
Damin Wu, Shing-Tung Yau
In this note we show that if a projective manifold admits a Kähler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This con…
On the boundary behavior of Kähler-Einstein metrics on log canonical pairs
Henri Guenancia, Damin Wu
In this paper, we study the boundary behavior of the negatively curved Kähler-Einstein metric attached to a log canonical pair such that is ample. In the case where…
The equality case of the Penrose inequality for asymptotically flat graphs
Lan-Hsuan Huang, Damin Wu
We prove the equality case of the Penrose inequality in all dimensions for asymptotically flat hypersurfaces. It was recently proven by G. Lam that the Penrose inequality holds for…