5 papers · 1 filter
On the Bergman Metric near Exponentially Flat Infinite Type Boundary Points
Ravi Shankar Jaiswal
We prove that the Bergman metric of a (possibly unbounded) pseudoconvex domain with an exponentially flat infinite type boundary point cannot be Einstein. Our result provides furth…
Strong Localization of the Kobayashi-Eisenman Volume Element and Its Boundary Asymptotics
Ravi Shankar Jaiswal, Debaprasanna Kar
We establish a quantitative version of strong localization of the Kobayashi-Eisenman volume element and the quotient invariant near plurisubharmonic peak points of domains in $\mat…
Asymptotic behaviour of the Bergman invariant and Kobayashi metric on exponentially flat infinite type domains
Ravi Shankar Jaiswal
We prove the nontangential asymptotic limits of the Bergman canonical invariant, Ricci and Scalar curvatures of the Bergman metric, as well as the Kobayashi--Fuks metric, at expone…
Boundary behaviour of the Bergman and Szegő kernels on generalized decoupled domains
Ravi Shankar Jaiswal
We prove optimal estimates of the Bergman and Szegő kernels on the diagonal, and the Bergman metric near the boundary of bounded smooth generalized decoupled pseudoconvex domains i…
Asymptotic behaviour of the Bergman kernel and metric
Ravi Shankar Jaiswal
We prove nontangential asymptotic limits of the Bergman kernel on the diagonal, and the Bergman metric and its holomorphic sectional curvature at exponentially flat infinite type b…