(Z_2^k)-manifolds are isospectral on forms

Details (Z_2^k)-manifolds are isospectral on forms (Z_2^k)-manifolds are isospectral on forms

2004-08-20

arxiv.org/abs/math/0408285v1

Mathematics

Differential Geometry

15 pages, 6 figures

Scientific paper

We obtain a simple formula for the multiplicity of eigenvalues of the Hodge-Laplace operator, $\Delta_f$, acting on sections of the full exterior bundle over an arbitrary compact flat Riemannian n-manifold M with holonomy group Z_2^k, with 0

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