The $1$-parametric $h$-principle for smooth conformal immersions of surfaces
Differential Geometry
2026-03-04 v1
Abstract
We reformulate the problem of finding conformal immersions of closed Riemannian surfaces in the language of the -principle and we prove that the inclusion from the space of smooth conformal immersions to the space of immersions induces a bijection on the sets of path connected components.
Keywords
Cite
@article{arxiv.2603.02900,
title = {The $1$-parametric $h$-principle for smooth conformal immersions of surfaces},
author = {Alaa Boukholkhal},
journal= {arXiv preprint arXiv:2603.02900},
year = {2026}
}