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Abstract
We study the spectrum of the Kohn Laplacian
□ b t on the Rossi example
( S 3
, ℒ t ) . In particular we
show that
0 is in the
essential spectrum of
□ b t ,
which yields another proof of the global nonembeddability of the Rossi example.
Keywords
Kohn Laplacian, spherical harmonics, global embeddability
of CR manifolds
Mathematical Subject Classification 2010
Primary: 32V30
Secondary: 32V05
Supplementary material
Mathematica
Code
Milestones
Received: 22 August 2017
Revised: 2 December 2017
Accepted: 30 December 2017
Published: 31 May 2018
Communicated by Stephan Garcia