CR Yamabe constant, CR Yamabe flow and its soliton
Abstract
On a compact strictly pseudoconvex CR manifold (M,), we consider the CR Yamabe constant of its infinite conformal covering. By using the maximum principles, we then prove a uniqueness theorem for the CR Yamabe flow on a complete noncompact CR manifold. Finally we obtain some properties of the CR Yamabe soliton on complete noncompact CR manifolds.
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