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Spectrum of the
Kohn Laplacian on the Rossi sphere
Tawfik Abbas, Madelyne M. Brown, Allison Ramasami and Yunus E. Zeytuncu
Vol. 12 (2019), No. 1, 125–140
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Abstract |
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We study the spectrum of the Kohn Laplacian on the Rossi example . In particular we show that is in the essential spectrum of , which yields another proof of the global nonembeddability of the Rossi example. |
Keywords
Kohn Laplacian, spherical harmonics, global embeddability
of CR manifolds
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Mathematical Subject Classification 2010
Primary: 32V30
Secondary: 32V05
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Supplementary material |
Milestones
Received: 22 August 2017
Revised: 2 December 2017
Accepted: 30 December 2017
Published: 31 May 2018
Communicated by Stephan Garcia
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Authors |
| Tawfik Abbas | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Madelyne M. Brown | |
| Department of Mathematics Bucknell University Lewisburg, PA United States |
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| Allison Ramasami | |
| Department of Mathematics and
Statistics University of Michigan-Dearborn Dearborn, MI United States |
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| Yunus E. Zeytuncu | |
| Department of Mathematics and
Statistics University of Michigan-Dearborn Dearborn, MI United States |
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