Author

Rivu Bardhan

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Preprint Aug 2026

On the complete maximal maps and their singularities

This article investigates the global structure of maximal surfaces (space-like immersions with zero mean curvature) in Lorentz-Minkowski $3$-space $\mathbb{E}^3_1$, especially focusing on the interplay between genus, the number of singular components--loci, and simple ends. We construct complete maximal maps with arbit...

Rivu Bardhan, Indranil Biswas, Pradip Kumar et al. · 0 citations

Preprint Aug 2026

Critical-point-free energy for fractional-Toledo representations

Let $S_g$ be a closed oriented surface of genus $g\ge2$. For a reductive representation $\rho:\pi_1(S_g)\to\PU(2,1)$, let $E_\rho$ be the energy function on Teichm\"uller space associated to equivariant harmonic maps into $\CH^2$. For every positive integer $d$ with $3\nmid d$, all sufficiently large $h$, and every $g>...

Rivu Bardhan, Anu Dhochak, Pradip Kumar · 0 citations