The $1$-parametric $h$-principle for smooth conformal immersions of surfaces

Fuente: arXiv
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1. Verfasser: Boukholkhal, Alaa
Format: Preprint
Veröffentlicht: 2026
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author Boukholkhal, Alaa
author_facet Boukholkhal, Alaa
contents We reformulate the problem of finding conformal immersions of closed Riemannian surfaces in the language of the $h$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02900
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The $1$-parametric $h$-principle for smooth conformal immersions of surfaces
Boukholkhal, Alaa
Differential Geometry
We reformulate the problem of finding conformal immersions of closed Riemannian surfaces in the language of the $h$-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.
title The $1$-parametric $h$-principle for smooth conformal immersions of surfaces
topic Differential Geometry
url https://arxiv.org/abs/2603.02900