Global convexity properties of some families of three-dimensional compact Levi-flat hypersurfaces
Global convexity properties of some families of three-dimensional compact Levi-flat hypersurfaces
复制标题
一些三维紧列维平坦超曲面族的全局凸性性质
DOI：
10.1090/s0002-9947-1992-1055805-3
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发表时间：
1992
影响因子：
1.3
通讯作者：
D. Barrett
中科院分区：
文献类型：
--
作者：
D. Barrett
我们考虑二维复流形中紧致Levi平坦超曲面的各种例子，探索诱导叶的几何性质、切向Cauchy-Riemann方程沿超曲面的行为和超曲面小邻域的伪凸性之间的相互作用
We consider various examples of compact Levi-flat hypersurfaces in two-dimensional complex manifolds, exploring the interplay between geometric properties of the induced foliation, behavior of the tangential Cauchy-Riemann equations along the hypersurface, and pseudoconvexity properties of small neighborhoods of the hypersurface