论文标题
CR不变的球体定理
A CR invariant sphere theorem
论文作者
论文摘要
我们证明，每个封闭的，普遍可嵌入的Cr三元型，具有非负Yamabe常数和正值$ q^\ prime $ curvature is contact Diffemerormorthic to the Standard The Shipthere的商。我们还证明，每个封闭的，可嵌入的CR三序Manifold，其Yamabe常数为零，总计$ Q^\ Prime $ - crvature cr等于Heisenberg Group的紧凑型商，其平坦的CR结构。
We prove that every closed, universally embeddable CR three-manifold with nonnegative Yamabe constant and positive total $Q^\prime$-curvature is contact diffeomorphic to a quotient of the standard contact three-sphere. We also prove that every closed, embeddable CR three-manifold with zero Yamabe constant and nonnegative total $Q^\prime$-curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure.
