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math.CV2026
The invariant Szegő metric on Egg domains
Anjali Bhatnagar, Jiliang Fan
We study the Fefferman--Szegő metric on egg domains \[ \mathcal D_{2m}=\{(z,w)\in\mathbb C^2: |z|^2+|w|^{2m}<1\},\qquad\qquad\qquad m\in\mathbb Z^+. \] Our first main result establ…
math.CV2026
The Invariant Szegő metric on strongly pseudoconvex domains
Anjali Bhatnagar, Jiliang Fan
The Fefferman--Szegő metric \(g_{\operatorname{FS}}^Ω\) on a \(C^\infty\)-smooth bounded strongly pseudoconvex domain \(Ω\subset\mathbb C^n\) is an invariant metric defined via the…