Length spectra andp-spectra of compact flat manifolds

@article{Miatello2001LengthSA,
  title={Length spectra andp-spectra of compact flat manifolds},
  author={Roberto J. Miatello and Juan Pablo Rossetti},
  journal={The Journal of Geometric Analysis},
  year={2001},
  volume={13},
  pages={631-657}
}
AbstractWe compare and contrast various length vs Laplace spectra of compact flat Riemannian manifolds. As a major consequence we produce the first examples of pairs of closed manifolds that are isospectral on p-forms for some p ≠ 0, but have different weak length spectrum. For instance, we give a pair of 4-dimensional manifolds that are isospectral on p-forms for p = 1, 3and we exhibit a length of a closed geodesic that occurs in one manifold but cannot occur in the other. We also exhibit… Expand

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