Cohomology equations near hyperbolic points and geometric versions of sternberg linearization theorem

A. Banyaga, R. De La Llave, C. E. Wayne

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

We prove that if two germs of diffeomorphisms preserving a volume, symplectic, or contact structure are tangent to a high enough order and the linearization is hyperbolic, it is possible to find a smooth change of variables that sends one into the other and which, moreover, preserves the same geometric structure. This result is a geometric version of Sternberg's linearization theorem, which we recover as a particular case. An analogous result is also proved for flows.

Original languageEnglish (US)
Pages (from-to)613-649
Number of pages37
JournalJournal of Geometric Analysis
Volume6
Issue number4
DOIs
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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