posted on 2019-04-29, 12:10authored byNaveed S. Bari, Eugenie Hunsicker
We 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 Mathematics
Volume
72
Issue
2
Pages
281-325
Citation
BARI, N.S. and HUNSICKER, E., 2019. Isospectrality for orbifold lens spaces. Canadian Journal of Mathematics, 72(2), pp. 281-325.
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