关于在球面上CR圆丛的嵌入问题

The Embedding of CR-circle Bundles Over Sphere

文章先用留数为0的整的奇异2-形式作为曲率来构造一类在二维球面上的严格伪凸CR圆丛,其在二维球面上诱导出标准Mizohata结构,然后证明这类CR圆丛可以用CR函数嵌入到多维复空间内.

In this paper, we use the integral singular 2-forms with residue 0 as the induced＇curvatures to construct some strictly pseudoconvex CR circle bundles over S^2, which induce the standard Mizohata structure on S^2, and then prove that the CR circle bundles are embeddable into a complex manifold by CR-functions.