5 citations · 7 across the 5 of their papers we have counts for
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On the Stability of Kähler-Einstein Metrics
Xianzhe Dai, Xiaodong Wang, Guofang Wei
Using spin structure we prove that Kähler-Einstein metrics with nonpositive scalar curvature are stable (in the direction of changes in conformal structures) as the critical po…
On the Stability of Riemannian Manifold with Parallel Spinors
Xianzhe Dai, Xiaodong Wang, Guofang Wei
Inspired by the recent work of Physicists Hertog-Horowitz-Maeda, we prove two stability results for compact Riemannian manifolds with nonzero parallel spinors. Our first result say…
On the L2 cohomology of a convex cocompact hyperbolic manifold
Xiaodong Wang
A vanishing theorem for a convex cocompact hyperbolic manifold is established, which relates the L2 cohomology to the Hausdorff dimension of the limit set. The borderline case is s…
Uniqueness of AdS spacetime in any dimensions
Xiaodong Wang
The uniqueness of the AdS spactime in proved for dimension n\leq 7 or any dimension under the spin assumption.
Holography and the geometry of certain convex cocompact hyperbolic 3-manifolds
Xiaodong Wang
Krasnov (arXiv: hep-th/0005106) identified the renormalized volume of a Schottky 3-manifold with the action of the Liouville theory on the conformal infiinity. We try to compute th…