Spectral Analysis of the Kohn Laplacian on Lens Spaces
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.
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer US
2023
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| Online Access: | https://hdl.handle.net/1721.1/147851 |
| _version_ | 1811095533684523008 |
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| author | Fan, Colin Kim, Elena Plzak, Zoe Shors, Ian Sottile, Samuel Zeytuncu, Yunus E. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Fan, Colin Kim, Elena Plzak, Zoe Shors, Ian Sottile, Samuel Zeytuncu, Yunus E. |
| author_sort | Fan, Colin |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:19:00Z |
| format | Article |
| id | mit-1721.1/147851 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:19:00Z |
| publishDate | 2023 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1478512024-02-16T04:41:59Z Spectral Analysis of the Kohn Laplacian on Lens Spaces Fan, Colin Kim, Elena Plzak, Zoe Shors, Ian Sottile, Samuel Zeytuncu, Yunus E. Massachusetts Institute of Technology. Department of Mathematics 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. 2023-02-03T12:50:14Z 2023-02-03T12:50:14Z 2023-02-02 2023-02-03T04:33:13Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/147851 The Journal of Geometric Analysis. 2023 Feb 02;33(4):116 en https://doi.org/10.1007/s12220-022-01164-y 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. Mathematica Josephina, Inc. application/pdf Springer US Springer US |
| spellingShingle | Fan, Colin Kim, Elena Plzak, Zoe Shors, Ian Sottile, Samuel Zeytuncu, Yunus E. Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title | Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title_full | Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title_fullStr | Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title_full_unstemmed | Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title_short | Spectral Analysis of the Kohn Laplacian on Lens Spaces |
| title_sort | spectral analysis of the kohn laplacian on lens spaces |
| url | https://hdl.handle.net/1721.1/147851 |
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