Isospectral Metrics on Projective Spaces

Ralf Rueckriemen

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arXiv · 1104.2221

Isospectral Metrics on Projective Spaces

Ralf Rueckriemen

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Abstract

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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BibTeX RIS

Ralf Rueckriemen. 2011-04-12. Isospectral Metrics on Projective Spaces. https://arxiv.org/abs/1104.2221

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