PROPERTIES OF THE DIRAC SPECTRUM ON THREE DIMENSIONAL LENS SPACES

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We present a spectral rigidity result for the Dirac operator on lens spaces. More specifically, we show that each homogeneous lens space and each three dimensional lens space L(q; p) with q prime is completely characterized by its Dirac spectrum in the class of all lens spaces.

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  • Osaka Journal of Mathematics

    Osaka Journal of Mathematics 54 (4), 747-765, 2017-10

    Osaka University and Osaka City University, Departments of Mathematics

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