Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbifold Lens Spaces that are Isospectral but not Isometric   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 developed by A. Ikeda on Lens Spaces to the orbifold
setting. Several results are proved to show that with certain restrictions on
the dimensionalities of orbifold Lens spaces we can obtain infinitely many
pairs of isospectral non-isometric Lens spaces. These results are then
generalized to show that for any dimension greater than 8 we can have pairs of
isospectral non-isometric orbifold Lens spaces.

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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: stat