10 citations · 60 across the 48 of their papers we have counts for
52 papers
Rigidity of Extremal and cscK Bergman Metrics on Pseudoconvex Domains
Peter Ebenfelt, Soumya Ganguly
Let , , be a bounded connected pseudoconvex domain whose boundary contains a smooth strongly pseudoconvex point. We prove that if the Bergman metric of…
A new strong rigidity phenomenon for the Bergman metric
Peter Ebenfelt, John N. Treuer, Ming Xiao
We establish a new local-to-global rigidity phenomenon for the Bergman metric. Namely, under natural geometric hypotheses, a local conformal identification of Bergman metrics deter…
Bergman kernels over polarized Kähler manifolds, Bergman logarithmic flatness, and a question of Lu-Tian
Peter Ebenfelt, Ming Xiao, Hang Xu
Let be a complete Kähler manifold, and let be a positive line bundle inducing a Kähler metric on . We study two Bergman kernels in this setting: the Bergm…
Domains with Bergman metrics of constant curvature and Bergman-negligible subsets
Peter Ebenfelt, John N. Treuer, Ming Xiao
Let be a bounded domain in . Suppose the holomorphic sectional curvature of its Bergman metric equals a negative constant . We show that is biholomorphic t…
Local algebraicity and localization of the Bergman kernel on Stein spaces with finite type boundaries
Peter Ebenfelt, Soumya Ganguly, Ming Xiao
On a two dimensional Stein space with isolated, normal singularities, smooth finite type boundary, and locally algebraic Bergman kernel, we establish an estimate on the type of the…
Kähler-Einstein metrics and obstruction flatness II: unit sphere bundles
Peter Ebenfelt, Ming Xiao, Hang Xu
This paper concerns obstruction flatness of hypersurfaces that arise as unit sphere bundles of Griffiths negative Hermitian vector bundles over Kähler manifolds…