Smooth submanifolds intersecting any analytic curve in a discrete set

Dan Coman, Norman Levenberg, Evgeny A. Poletsky

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

We construct examples of C 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.

Original languageEnglish (US)
Pages (from-to)55-65
Number of pages11
JournalMathematische Annalen
Volume332
Issue number1
DOIs
StatePublished - May 2005

ASJC Scopus subject areas

  • Mathematics(all)

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