2 papers
math.CV2026
The invariant SzegÅ metric on Egg domains
Anjali Bhatnagar, Jiliang Fan
We study the Fefferman--SzegÅ 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 estab…
math.CV2026
The Invariant SzegÅ metric on strongly pseudoconvex domains
Anjali Bhatnagar, Jiliang Fan
The Fefferman--SzegÅ 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…