Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series
Analysis of PDEs
2009-11-13 v1
Abstract
Let G be a compact Lie group acting transitively on Riemannian manifolds M and N. Let p be a G equivariant Riemannian submersion from M to N. We show that a smooth differential form on N has finite Fourier series if and only if the pull back has finite Fourier series on M
Keywords
Cite
@article{arxiv.0708.1102,
title = {Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series},
author = {C. Dunn and P. Gilkey and J. H. Park},
journal= {arXiv preprint arXiv:0708.1102},
year = {2009}
}