Free Circle Actions on the Product of Three Spheres
Abstract
The orbit spaces of free S0-actions on the mod 2 cohomology product of three spheres, Sn x Sm x Sl, 1 <= n <= m <= l have been determined in [6]. In this paper, we extend these findings to free S1-actions on the rational cohomology product of three spheres. This extension also builds upon the work of Dotzel et al. [7], who studied free circle actions on the rational cohomology product of two spheres. Additionally, we establish Borsuk-Ulam type theorems.
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