Showing 2023 · math.DGShow all
2 papers · 2 filters
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…
math.DG2023
Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
Pradip Kumar, Sai Rashmi Ranjan Mohanty
We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions un…