Stationary discs and finite jet determination for CR mappings in higher codimension

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Abstract

We discuss stationary discs for generic CR manifolds and apply them to the problem of finite jet determination for CR mappings. We prove that a C2-smooth CR diffeomorphism of two C4-smooth strictly pseudoconvex Levi generating CR manifolds is uniquely determined by its 2-jet at a given point. A new key element of the proof is the existence of non-defective stationary discs.

Original languageEnglish (US)
Article number107254
JournalAdvances in Mathematics
Volume371
DOIs
StatePublished - Sep 16 2020

Keywords

  • CR mapping
  • Finite jet determination
  • Stationary disc

ASJC Scopus subject areas

  • Mathematics(all)

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