I'm reading one paper in Riemannian manifolds which very briefly mentions that quotients of $S^{2}\times R^{1}$ by a finite group of fixed point free isometries include $S^{2}\times S^{1}$, $RP^{2}\times S^{1}$. I know what are fixed points of isometries, but I searched for more information on how to find such quotients and in vain. I found no information going more deeply in explaining that finite group of fixed point free isometries or how to find such kinds of quotiens. Textbooks, papers that eplain and deal with those things would be very appreciated.
2026-03-26 13:00:44.1774530044
Quotient by a finite group of fixed-point-free isometries
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