5 citations · 8 across the 7 of their papers we have counts for
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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.CV2018
Quantitative upper bounds for Bergman kernels associated to smooth Kähler potentials
Hamid Hezari, Hang Xu
We give upper bounds for the Bergman kernels associated to tensor powers of a smooth positive line bundle in terms of the rate of growth of the Taylor coefficients of the Kähler po…