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October 2017 Properties of the Dirac spectrum on three dimensional lens spaces
Sebastian Boldt
Osaka J. Math. 54(4): 747-765 (October 2017).

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.

Citation

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Sebastian Boldt. "Properties of the Dirac spectrum on three dimensional lens spaces." Osaka J. Math. 54 (4) 747 - 765, October 2017.

Information

Published: October 2017
First available in Project Euclid: 20 October 2017

zbMATH: 06821136
MathSciNet: MR3715361

Subjects:
Primary: 58J50
Secondary: 11R18, 53C27, 58J53

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

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Vol.54 • No. 4 • October 2017
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