2 papers
math.DG2017
Isospectrality For Orbifold Lens Spaces
Naveed Bari, Eugenie Hunsicker
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 a…
math.SP2009
Orbifold Lens Spaces that are Isospectral but not Isometric
Naveed Shamsul Bari
We answer Mark Kacs famous question - can one hear the shape of a drum - in the negative for orbifolds that are spherical space forms. This is done by extending the techniques deve…