2011/04/12 by Rueckriemen, Ralf
#FOS: Mathematics #Spectral Theory (math.SP)
paper · doi:10.48550/arxiv.1104.2221
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.