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math.HO2024
Isoperimetric inequality for non-Euclidean polygons
Basudeb Datta, Subhojoy Gupta
It is a classical fact in Euclidean geometry that the regular polygon maximizes area amongst polygons of the same perimeter and number of sides, and the analogue of this in non-Euc…
math.GT2024★ 1 cited
Dominating surface-group representations via Fock-Goncharov coordinates
Pabitra Barman, Subhojoy Gupta
Let be a punctured surface of negative Euler characteristic. We show that given a generic representation , there exists a posit…
math.DG2024
On harmonic maps from the complex plane to hyperbolic 3-space
Subhojoy Gupta, Gobinda Sau
For any twisted ideal polygon in , we construct a harmonic map from to with a polynomial Hopf differential, that is asymptotic to the give…