S. Sahoo

collaborators

2 papers

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…