A New Construction of Isospectral Riemannian Nilmanifolds with Examples

Details A New Construction of Isospectral Riemannian Nilmanifolds with Examples A New Construction of Isospectral Riemannian Nilmanifolds with Examples

1995-02-10

arxiv.org/abs/math/9502208v1

Mathematics

Differential Geometry

Scientific paper

We present a new construction for obtaining pairs of higher-step isospectral
Riemannian nilmanifolds and compare several resulting new examples. In
particular, we present new examples of manifolds that are isospectral on
functions, but not isospectral on one-forms.

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