5 citations · 9 across the 5 of their papers we have counts for
5 papers
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…
Geometric estimates and comparability of Eisenman volume elements with the Bergman kernel on (C-)convex domains
Debaprasanna Kar
We establish geometric upper and lower estimates for the Carathéodory and Kobayashi-Eisenman volume elements on the class of non-degenerate convex domains, as well as on the more g…
Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains
Debaprasanna Kar
We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the non-tangential boundary asymptotics of the Kobayashi--Fuks me…
Existence of geodesic spirals for the Kobayashi--Fuks metric on planar domains
Debaprasanna Kar
In this note, we discuss the following problem: Given a smoothly bounded strongly pseudoconvex domain in , can we guarantee the existence of geodesics for the Kob…
Some remarks on the Kobayashi--Fuks metric on strongly pseudoconvex domains
Diganta Borah, Debaprasanna Kar
The Ricci curvature of the Bergman metric on a bounded domain is strictly bounded above by and consequently , where is…