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A Homogeneous Function Constant along the Leaves of a Foliation. (arXiv:1807.01199v1 [math.CV])
来源于:arXiv
Given a smooth foliation by complex curves (locally around a point
$x\in\mathbb{C}^2\setminus\{0\}$) which is "compatible" with the foliation by
spheres centered at the origin, we construct a smooth real-valued function $g$
in a neighborhood of said point, which is positive, homogeneous and constant
along the leaves. A corollary we obtain from this is relevant to the problem of
"bumping out" certain pseudoconvex domains in $\mathbb{C}^3$. 查看全文>>