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arXiv · 1810.09020

Locally conformally flat metrics on surfaces of general type

Mustafa Kalafat·Özgür Kelekçi
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Abstract

We prove a nonexistence theorem for product type manifolds. In particular we show that the 4-manifold $Σ_g\timesΣ_h$ 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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Mustafa Kalafat, Özgür Kelekçi. 2019-01-09. Locally conformally flat metrics on surfaces of general type. https://arxiv.org/abs/1810.09020

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