Nowhere minimal CR submanifolds and Levi-flat hypersurfaces

被引：0
作者：
Jiří Lebl
机构：
[1] University of California at San Diego,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2007年 / 17卷
关键词：
32V40; 32C07; Singular Levi-flat hypersurfaces; CR submanifolds; local holomorphic invariants;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A local uniqueness property of holomorphic functions on real-analytic nowhere minimal CR submanifolds of higher codimension is investigated. A sufficient condition called almost minimality is given and studied. A weaker necessary condition, being contained a possibly singular real-analytic Levi-flat hypersurface is studied and characterized. This question is completely resolved for algebraic submanifolds of codimension 2 and a sufficient condition for noncontainment is given for non algebraic submanifolds. As a consequence, an example of a submanifold of codimension 2, not biholomorphically equivalent to an algebraic one, is given. We also investigate the structure of singularities of Levi-flat hypersurfaces.
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页码：321 / 341
页数：20
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