Isospectral Metrics on Projective Spaces

Details Isospectral Metrics on Projective Spaces Isospectral Metrics on Projective Spaces

2011-04-12

arxiv.org/abs/1104.2221v1

Mathematics

Spectral Theory

This is the authors diploma thesis, submitted at Humboldt University in 2006

Scientific paper

We construct isospectral non isometric metrics on real and complex projective space. We recall the construction using isometric torus actions by Carolyn Gordon in chapter 2. In chapter 3 we will recall some facts about complex projective space. In chapter 4 we build the isospectral metrics. Chapter 5 is devoted to the non isometry proof of the metrics built in chapter 4. In chapter 6 isospectral metrics on real projective space are derived from metrics on the sphere.

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