Document Type
Article
Date
2-23-2004
Disciplines
Mathematics
Description/Abstract
We construct examples of Cinifinity smooth submanifolds in Cn and Rn 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.
Recommended Citation
Coman, Dan; Levenberg, Norman; and Poletsky, Evgeny A., "Smooth Submanifolds Intersecting any Analytic Curve in a Discrete Set" (2004). Mathematics - All Scholarship. 14.
https://surface.syr.edu/mat/14
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This article is from arXiv.org, for more information see http://arxiv.org/abs/math/0402379