By Huai-Dong Cao and others

A closed CR 3-manifold is said to have \(C_{0}\)-positive pseudohermitian curvature if \((W+C_{0}Tor)(X,X)>0\) for any \(0\neq X\in T_{1,0}(M)\). We discover an obstruction for a closed CR 3-manifold to possess \(C_{0}\)-positive pseudohermitian curvature. We classify closed three-dimensional CR Yamabe solitons according to \(C_{0}\)-positivity and \(C_{0}\)-negativity whenever \(C_{0}=1\) and the potential function... Show more

February 28, 2019

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$C_0$-positivity and a classification of closed three-dimensional CR torsion solitons

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