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.

Bibliographische Detailangaben
Hauptverfasser: Fan, Colin, Kim, Elena, Plzak, Zoe, Shors, Ian, Sottile, Samuel, Zeytuncu, Yunus E.
Weitere Verfasser: Massachusetts Institute of Technology. Department of Mathematics
Format: Artikel
Sprache:English
Veröffentlicht: Springer US 2023
Online Zugang:https://hdl.handle.net/1721.1/147851