Smooth submanifolds intersecting any analytic curve in a discrete set

被引：5

作者：

Coman, D

Levenberg, N

Poletsky, EA

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

MATHEMATISCHE ANNALEN | 2005年 / 332卷 / 01期

关键词：

Euclidean Space; Analytic Curve; Complex Case; Smooth Submanifolds; Analytic Disk;

D O I：

10.1007/s00208-004-0616-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct examples of C-infinity smooth submanifolds in C-n and R-n of codimension 2 and 1, which intersect every complex, respectively real, analytic curve in a discrete set. The examples are realized either as compact tori or as properly imbedded Euclidean spaces, and are the graphs of quasianalytic functions. In the complex case, these submanifolds contain real n-dimensional tori or Euclidean spaces that are not pluripolar while the intersection with any complex analytic disk is polar.

引用

页码：55 / 65

页数：11

共 28 条

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Norman Levenberg
Evgeny A. Poletsky
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