Locally conformally flat metrics on surfaces of general type

2018/10/21 by Kalafat, Mustafa, Kelekçi, Özgür
#53C25 #57M50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1810.09020

Abstract

We prove a nonexistence theorem for product type manifolds. In particular we show that the 4-manifold Σ_g×Σ_h does not admit any locally conformally flat metric arising from discrete and faithful representations for g≥ 2 and h≥ 1

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