Isospectrality Of Orbifold Lens Spaces.pdf (416.61 kB)
Isospectrality for orbifold lens spaces
journal contribution
posted on 2019-04-29, 12:10 authored by Naveed S. Bari, Eugenie HunsickerWe answer Mark Kac’s famous question [K], “can one hear the shape of a drum?” in the positive for orbifolds that are 3-dimensional and 4-dimensional lens spaces; we thus complete the answer to this question for orbifold lens spaces in all dimensions. We also show that the coefficients of the asymptotic expansion of the trace of the heat kernel are not sufficient to determine the above results.
History
School
- Science
Department
- Mathematical Sciences
Published in
Canadian Journal of MathematicsVolume
72Issue
2Pages
281-325Citation
BARI, N.S. and HUNSICKER, E., 2019. Isospectrality for orbifold lens spaces. Canadian Journal of Mathematics, 72(2), pp. 281-325.Publisher
Cambridge University Press © Canadian Mathematical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2019-08-27Notes
This article has been published in a revised form in Canadian Journal of Mathematics https://doi.org/10.4153/s0008414x19000178. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © Canadian Mathematical Society.ISSN
0008-414XeISSN
1496-4279Publisher version
Language
- en
