English

Approaching the prescribed Gaussian curvature by discrete conformality

Geometric Topology 2025-10-14 v2

Abstract

We propose a discrete approach for approximating solutions to the prescribed Gaussian curvature problem in two-dimensional manifolds, based on the notion of discrete conformality. Our approach provides an efficient numerical method to compute the solution by minimizing a convex functional.

Keywords

Cite

@article{arxiv.2312.11877,
  title  = {Approaching the prescribed Gaussian curvature by discrete conformality},
  author = {Ziran Liu and Tianqi Wu},
  journal= {arXiv preprint arXiv:2312.11877},
  year   = {2025}
}