Properties of the Dirac spectrum on three dimensional lens spaces
classification
🧮 math.DG
math.NT
keywords
lensdiracspacesdimensionalspacespectrumthreecharacterized
read the original abstract
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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