Vanishing and conservativeness of harmonic forms of a non-compact CR manifold

Jun Masamune

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The self-adjointness of a sublaplacian and Kohn-Rossi laplacians on a non-compact strictly pseudoconvex CR manifold is proved. As applications to geometry, the vanishing and the conservativeness of harmonic forms are obtained.

Original languageEnglish
Pages (from-to)79-102
Number of pages24
JournalAtti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume19
Issue number2
DOIs
Publication statusPublished - 2008 Jan 1

Keywords

  • CR manifold
  • Conservative
  • Essentially self-adjoint
  • Kohn-Rossi laplacian
  • Sublaplacian
  • Vanishing theorem

ASJC Scopus subject areas

  • Mathematics(all)

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