Prachi Mahajan

activity

20092026

most citedLimits of an increasing sequence of complex manifolds

2 citations · 6 across the 11 of their papers we have counts for

collaborators

13 papers

math.CV2026

A quasiconformal variant of the union problem

Diganta Borah, Prachi Mahajan, Kaushal Verma

The Union Problem, which has its genesis in the classical Levi problem, asks for a classification of complex manifolds $M$ that can be exhausted by an increasing union of submanifo…

math.CV2025

A Hermitian metric on hyperbolic complex manifolds

Debraj Chakrabarti, Prachi Mahajan

We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant…

math.CV2024

Limits of an increasing sequence of Riemann surfaces

Diganta Borah, Prachi Mahajan, Jiju Mammen

Let $M$ be a Riemann surface which admits an exhaustion by open subsets $M_{j}$ each of which is biholomorphic to a fixed domain $Ω \subset C$ . We describe $M$ in terms of $Ω…

math.CV2024

The Bergman-Fridman invariant on some classes of pseudoconvex domains

Rahul Kumar, Prachi Mahajan

We study the boundary behaviour of a variant of the Fridman's invariant function (defined in terms of the Bergman metric) on Levi corank one domains, strongly pseudoconvex domains,…

math.CV2021★ 2 cited

Limits of an increasing sequence of complex manifolds

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

Let $M$ be a complex manifold which admits an exhaustion by open subsets $M_{j}$ each of which is biholomorphic to a fixed domain $Ω \subset C^{n}$ . The main question addressed…

math.CV2018★ 1 cited

Further remarks on the higher dimensional Suita conjecture

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

For a domain $D \subset C^{n}$ , $n \geq 2$ , let $F_{D}^{k} (z) = K_{D} (z) λ (I_{D}^{k} (z))$ , where $K_{D} (z)$ is the Bergman kernel of $D$ along the diagonal and $λ (I_{D}^{k} (z))$ …

math.CV2018

Remarks on the higher dimensional Suita conjecture

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

To study the analog of Suita's conjecture for domains $D \subset C^{n}$ , $n \geq 2$ , Błocki introduced the invariant $F_{D}^{k} (z) = K_{D} (z) λ (I_{D}^{k} (z))$ , where $K_{D} (z)$ is t…

math.CV2018

A comparison of two biholomorphic invariants

Prachi Mahajan, Kaushal Verma

The Fridman invariant, which is a biholomorphic invariant on Kobayashi hyperbolic manifolds, can be seen as the dual of the much studied squeezing function. We compare this pair of…

math.CV2015

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- II

G. P. Balakumar, Prachi Mahajan

We study the Wu metric for the non-convex domains of the form \[ E_{2m} = \big\{ z \in \mathbb{C}^n : \vert z_1 \vert^{2m} + \vert z_2 \vert^2 + \ldots + \vert z_{n-1} \vert^2 + \v…

math.CV2015★ 1 cited

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- I

G. P. Balakumar, Prachi Mahajan

We study the Wu metric on convex egg domains of the form \[ E_{2m} = \big\{ z \in \mathbb{C}^n : \vert z_1 \vert^{2m} + \vert z_2 \vert^2 + \ldots + \vert z_{n-1} \vert^2 + \vert z…

math.CV2013★ 1 cited

Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications

G. P. Balakumar, Prachi Mahajan, Kaushal Verma

Let $D \subset C^{n}$ be a smoothly bounded pseudoconvex Levi corank one domain with defining function $r$ , i.e., the Levi form $\partial \partial ˉ r$ of the boundary…

math.CV2010

On isometries of the Kobayashi and Carathéodory metrics

Prachi Mahajan

This article considers isometries of the Kobayashi and Carathéod-ory metrics on domains in $C^{n}$ and the extent to which they behave like holomorphic mappings. First we…

math.CV2009★ 1 cited

Some aspects of the Kobayashi and Carathéodory metrics on pseudoconvex domains

Prachi Mittal, Kaushal Verma

The purpose of this article is to consider two themes both of which emanate from and involve the Kobayashi and the Carathéodory metric. First we study the biholomorphic invariant i…

A quasiconformal variant of the union problem

A Hermitian metric on hyperbolic complex manifolds

Limits of an increasing sequence of Riemann surfaces

The Bergman-Fridman invariant on some classes of pseudoconvex domains

Limits of an increasing sequence of complex manifolds

Further remarks on the higher dimensional Suita conjecture

Remarks on the higher dimensional Suita conjecture

A comparison of two biholomorphic invariants

Analyzing the Wu metric on a class of eggs in Cn -- II

Analyzing the Wu metric on a class of eggs in Cn -- I

Bounds for Invariant Distances on Pseudoconvex Levi Corank One Domains and Applications

On isometries of the Kobayashi and Carathéodory metrics

Some aspects of the Kobayashi and Carathéodory metrics on pseudoconvex domains

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- II

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- I