Isospectral Submersion Metrics

Details Isospectral Submersion Metrics Isospectral Submersion Metrics

2011-03-17

arxiv.org/abs/1103.3418v1

Mathematics

Differential Geometry

8 pages, submitted to "Differential Geometry and its applications"

Scientific paper

We construct continuous families of pairwise isospectral metrics on various Riemannian manifolds (e.g., Lie groups, projective spaces and products of these with tori) which arise as quotients of other manifolds. This is done by developing a general principle which guarantees that the torus method can be used to simultaneously construct isospectral metrics on a manifold and a quotient of it. Furthermore, a suffient condition will be given such that the constructed metrics are submersion metrics.

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