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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…
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 (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal cro…