论文标题

CHERN类球形cr歧管的类

Chern classes of spherical CR manifolds

论文作者

Takeuchi, Yuya

论文摘要

我们首先构建了维度的闭合球形cr歧管,至少五个具有具有实际系数的非平凡的Chern类。接下来,我们证明了对Chern类的约束,其实际系数(不一定是封闭)球形CR歧管。最后,我们获得了在共同导向接触歧管上存在球形CR结构的拓扑阻塞。

We first construct closed spherical CR manifolds of dimension at least five having non-trivial first Chern class with real coefficients. We next prove a constraint on Chern classes with real coefficients of (not necessarily closed) spherical CR manifolds. Finally, we obtain a topological obstruction to the existence of spherical CR structures on co-oriented contact manifolds.

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