Smooth submanifolds intersecting any analytic curve in a discrete set

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dc.creatorComan, Dan
dc.creatorLevenberg, Norman
dc.creatorPoletsky, Evgeny A.
dc.date2004-02-23
dc.date.accessioned2026-07-07T05:05:40Z
dc.date.available2026-07-07T05:05:40Z
dc.descriptionWe construct examples of $C^\infty$ smooth submanifolds in ${\Bbb C}^n$ and ${\Bbb R}^n$ 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.
dc.identifierhttps://arxiv.org/abs/math/0402379
dc.identifierhttp://arxiv.org/abs/math/0402379
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70253
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32U15; 53A07; 26E10; 32U05
dc.titleSmooth submanifolds intersecting any analytic curve in a discrete set
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