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math.DG2018
On a new functional for extremal metrics of the conformal laplacian in high dimension
Yannick Sire, Hang Xu
In this paper, we introduce a new functional for the conformal spectrum of the conformal laplacian on a closed manifold M of dimension at least 3. For this new functional we provid…
math.DG2018
Asymptotic properties of Bergman kernels for potentials with Gevrey regularity
Hang Xu
We study the asymptotic properties of the Bergman kernels associated to tensor powers of a positive line bundle on a compact Kähler manifold. We show that if the Kähler potential i…
math.DG2017★ 5 cited
Off-diagonal asymptotic properties of Bergman kernels associated to analytic Kähler potentials
Hamid Hezari, Zhiqin Lu, Hang Xu
We prove a new off-diagonal asymptotic of the Bergman kernels associated to tensor powers of a positive line bundle on a compact Kähler manifold. We show that if the Kähler potenti…