Higher genus maxfaces with Enneper end
Differential Geometry
2024-04-09 v2
Abstract
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 set is located away from the ends. The nature of the singularities is systematically investigated.
Cite
@article{arxiv.2310.00235,
title = {Higher genus maxfaces with Enneper end},
author = {Rivu Bardhan and Indranil Biswas and Pradip Kumar},
journal= {arXiv preprint arXiv:2310.00235},
year = {2024}
}
Comments
27 pages, Final version. To appear in "The Journal of Geometric Analysis"