Finite symmetries of $S^4$

Weimin Chen; Slawomir Kwasik; Reinhard Schultz

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arXiv · 1412.5901

Finite symmetries of $S^4$

Weimin Chen·Slawomir Kwasik·Reinhard Schultz

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Abstract

This paper discusses topological and locally linear actions of finite groups on $S^4$. Local linearity of the orientation preserving actions on $S^4$ forces the group to be a subgroup of $SO(5)$. On the other hand, orientation reversing topological actions of "exotic" groups $G$ (i.e. $G\not\subset O(5)$) on $S^4$ are constructed, and local linearity and stable smoothability of the actions are studied.

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BibTeX RIS

Weimin Chen, Slawomir Kwasik, Reinhard Schultz. 2014-12-18. Finite symmetries of $S^4$. https://arxiv.org/abs/1412.5901

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