Pradip Kumar

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20232026

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math.DG2026

On the complete maximal maps and their singularities

Rivu Bardhan, Indranil Biswas, Pradip Kumar +1

This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$ -space $E_{1}^{3}$ , especially focu…

math.DG2026

Finite-energy equivariant minimal immersions in $CH^{2}$ with fixed-lift proper cusp ends

Indranil Biswas, Pradip Kumar, John Loftin

Let $Σ_{0} = Σ ∖ {z_{1}, \dots, z_{n}}$ be a finite-type hyperbolic Riemann surface, with its universal cover being identified with $H$ . We prove that a finite-ener…

math.DG2025

Higher genus Angel surfaces

Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1

We prove the existence of complete minimal surfaces in $R^{3}$ of arbitrary genus $p \geq 1$ and least total absolute curvature with precisely two ends -- one catenoidal…

math.DG2023

Higher genus maxfaces with Enneper end

Rivu Bardhan, Indranil Biswas, Pradip Kumar

We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces, and furthermore, the singularity…

On the complete maximal maps and their singularities

Finite-energy equivariant minimal immersions in CH2 with fixed-lift proper cusp ends

Higher genus Angel surfaces

Higher genus maxfaces with Enneper end

Finite-energy equivariant minimal immersions in $CH^{2}$ with fixed-lift proper cusp ends