4 papers
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…
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…
On the Boundary Behaviour of Invariants and Curvatures of the Kobayashi--Fuks Metric in Strictly Pseudoconvex Domains
Anjali Bhatnagar
The purpose of this article is to investigate the boundary behaviour of the Kobayashi--Fuks metric and several associated invariants on strictly pseudoconvex domains in the paradig…
On the geodesics of the Szegö metric
Anjali Bhatnagar
We explore the existence of closed geodesics and geodesic spirals for the Szegö metric in a -smoothly bounded strongly pseudoconvex domain , whi…