Geodesic
Isospectrality for Orbifold Lens Spaces
Canadian journal of mathematics, Tome 72 (2020) no. 2, pp. 281-325

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DOI

We answer Mark Kac’s famous question, “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.
DOI : 10.4153/S0008414X19000178
Mots-clés : spectral geometry, global Riemannian geometry, orbifold, lens space 
Bari, Naveed S.; Hunsicker, Eugenie. Isospectrality for Orbifold Lens Spaces. Canadian journal of mathematics, Tome 72 (2020) no. 2, pp. 281-325. doi: 10.4153/S0008414X19000178
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     title = {Isospectrality for {Orbifold} {Lens} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {281--325},
     year = {2020},
     volume = {72},
     number = {2},
     doi = {10.4153/S0008414X19000178},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000178/}
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