Locally conformally flat metrics on surfaces of general type
classification
🧮 math.DG
math.GT
keywords
conformallyflatlocallysigmatypeadmitarisingdiscrete
read the original abstract
We prove a nonexistence theorem for product type manifolds. In particular we show that the 4-manifold $\Sigma_g\times\Sigma_h$ does not admit any locally conformally flat metric arising from discrete and faithful representations for $g\geq 2$ and $h\geq 1$
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