





















Abstract:We present a method to build free immersions in critical dimension on $m$-tori for $m=2,3,4,5$ by using a factorization trick inspired by tori immersions in critical dimension. As an application, we show that the set of smooth free maps from a closed surface $M$ to \(\R^5\) is nonempty. In particular, every closed surface embeds freely in \(\R^5\).
| Comments: | 39 pages, no figure |
| Subjects: | Geometric Topology (math.GT); Differential Geometry (math.DG) |
| Cite as: | arXiv:2605.24610 [math.GT] |
| (or arXiv:2605.24610v1 [math.GT] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24610 arXiv-issued DOI via DataCite (pending registration) |
From: Roberto De Leo [view email]
[v1]
Sat, 23 May 2026 14:46:02 UTC (88 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。