Spin Structures and Spectra
نویسندگان
چکیده
We give necessary and sufficient conditions for the existence of pin ± and spin structures on Riemannian manifolds with holonomy group Z k 2. For any n ≥ 4 (resp. n ≥ 6) we give examples of pairs of compact manifolds (resp. compact orientable manifolds) M1, M2, non homeomorphic to each other, that are Laplace isospectral on functions and on p-forms for any p and such that M1 admits a pin ± (resp. spin) structure whereas M2 does not.
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