On isomorphic classical diffeomorphism groups. II

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12 Scopus citations


We prove that the geometric structures defined by a volume form or a symplectic form (with a mild additional condition) on smooth manifolds are determined by their automorphism groups. This is a contribution to the Erlangen Program of Klein.

Original languageEnglish (US)
Pages (from-to)23-35
Number of pages13
JournalJournal of Differential Geometry
Issue number1
StatePublished - Jul 1988

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


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