Rivu Bardhan

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20222026

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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

Critical-point-free energy for fractional-Toledo representations

Rivu Bardhan, Anu Dhochak, Pradip Kumar

Let $S_{g}$ be a closed oriented surface of genus $g \geq 2$ . For a reductive representation $ρ:π_1(S_g)\to\PU(2,1)$, let $E_{ρ}$ be the energy function on Teichmüller space associated to…

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

Cuspidal crosscaps and folded singularities on a maxface and a minface

Rivu Bardhan, Anu Dhochak, Pradip Kumar

For a given zero mean curvature surface $X$ (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal cro…