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edited Sep 9, 2020 at 12:13

Conformal covers of all degrees

Let $M$ be a connected closed conformal oriented manifold.

Assume there exist conformal covering maps $\phi_k:M\to M$ of all degrees $k\geq 1$. Is $M\cong S^1$ then?

Can we at least rule out $\mathrm{dim}(M)=3$?

dg.differential-geometry at.algebraic-topology gt.geometric-topology riemannian-geometry differential-topology

asked Sep 7, 2020 at 10:39

user164740