Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series

Details Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series

2007-08-08

arxiv.org/abs/0708.1102v1

Mathematics

Analysis of PDEs

Scientific paper

10.1088/1751-8113/41/13/135204

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

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