Line bundle Laplacians over isospectral nilmanifolds

Schueth, Dorothee

doi:10.1090/S0002-9947-97-01861-8

Line bundle Laplacians over isospectral nilmanifolds
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by Dorothee Schueth

Trans. Amer. Math. Soc. 349 (1997), 3787-3802

DOI: https://doi.org/10.1090/S0002-9947-97-01861-8

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Abstract:

We show that nontrivial isospectral deformations of a big class of compact Riemannian two-step nilmanifolds can be distinguished from trivial deformations by the behaviour of bundle Laplacians on certain non-flat hermitian line bundles over these manifolds.

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