43 citations · 49 across the 9 of their papers we have counts for
4 papers · 1 filter
Duality of zero mean curvature surfaces in the Lorentzian Heisenberg group
Sai Rasmi Ranjan Mohanty, Priyank Vasu
We study a transformation surface associated with a zero mean curvature surface in the three-dimensional Heisenberg group with respect to two left-invariant semi-Riemannian metrics…
Singularities on maxfaces constructed by node-opening
Hao Chen, Anu Dhochak, Pradip Kumar +1
The node-opening technique, originally designed for constructing minimal surfaces, is adapted to construct a rich variety of new maxfaces of high genus that are embedded outside a…
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…
Approximating singularities by a cuspidal edge on a maxface
Pradip Kumar, Sai Rasmi Ranjan Mohanty
We give necessary and sufficient conditions on the singular Björling data to the singular Björling problem's solution has a prescribed nature of singularity. As an application, we…