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

Jun Masamune

doi:10.4171/RLM/510

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

Jun Masamune

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	79-102
Number of pages	24
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Volume	19
Issue number	2
DOIs	https://doi.org/10.4171/RLM/510
Publication status	Published - 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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