3 papers
math.CV2025
Proper maps of annuli
Abdullah Al Helal, Jiri Lebl, Achinta Kumar Nandi
We study proper holomorphic maps of annuli in complex Euclidean spaces, that is, domains with as the automorphism group. By the Hartogs phenomenon and a result of Forstnerič…
math.CV2025
On the dimension of the -Bergman spaces
Shreedhar Bhat, Achinta Kumar Nandi
The investigation of the dimension of Bergman spaces has long been a central topic in several complex variables, uncovering profound connections with potential theory and function…
math.DG2025
Asymptotic behavior of geodesics in conformally compact manifolds
Sean N. Curry, Achinta Kumar Nandi
We study the asymptotic behavior of geodesics near the boundary of a conformally compact Riemannian manifold . In the case where the sectional curvature at infinity is const…