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math.CV2024
Some remarks on the Carathéodory and Szegö metrics on planar domains
Anjali Bhatnagar, Diganta Borah
We study several intrinsic properties of the Carathéodory and Szegö metrics on finitely connected planar domains. Among them are the existence of closed geodesics and geodesic sp…
math.CV2024
Limits of an increasing sequence of Riemann surfaces
Diganta Borah, Prachi Mahajan, Jiju Mammen
Let be a Riemann surface which admits an exhaustion by open subsets each of which is biholomorphic to a fixed domain . We describe in terms of $…