Spectral Analysis of the Kohn Laplacian on Lens Spaces
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Author(s) • • • • •
Fan, Colin
Kim, Elena
Plzak, Zoe
Shors, Ian
Sottile, Samuel
Zeytuncu, Yunus E.
Date Issued
February 2, 2023
Publisher
Springer US
Citation
The Journal of Geometric Analysis. 2023 Feb 02;33(4):116
Version
Author's final manuscript
Abstract
Abstract
We obtain an analog of Weyl’s law for the Kohn Laplacian on lens spaces. We also show that two 3-dimensional lens spaces with fundamental groups of equal prime order are isospectral with respect to the Kohn Laplacian if and only if they are CR isometric.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s12220-022-01164-y