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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Alaa Boukholkhal
DOI: 10.48550/arxiv.2603.02900
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Geometric and Algebraic Topology Advanced Differential Geometry Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
arXiv (Cornell University)
Publication date
3 March 2026
Language
EN
Document type
Preprint