Pritam Naskar

works on

boundary asymptotics 1 comparison inequality 1 geodesics 1 hyperbolic metric 1 inner metric 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.MG2026

Local asymptotics near a smooth boundary point and estimates for a hyperbolic-type metric

Pritam Naskar

The paper analyzes the local behavior of a hyperbolic-type metric m_D near smooth boundary points, derives asymptotic formulas, relates it to a Nikolov–Andreev-like inner metric, a…

math.MG2025

Modified Distance Ratio Metrics via Domain Diameter and their geometric implications

Bibekananda Maji, Pritam Naskar, Swadesh Kumar Sahoo

Let $D ⊊ R^{n}, n \geq 2$ , be a domain. In this manuscript, a new version of the Vuorinen's distance ratio metric $j_{D}$ [{\tt J. Analyse Math.} {\bf 45} (1985), 69--115…

math.MG2025

A naive generalization of the hyperbolic and the quasihyperbolic metrics

Bibekananda Maji, Pritam Naskar, Swadesh Kumar Sahoo

Although the hyperbolic metric possesses many remarkable properties, it is not defined on arbitrary subdomains of $R^{n}$ with $n \geq 2$ . This article introduces a new hype…