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MiS Preprint
72/2007

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

Corey Dunn, Peter B. Gilkey and JeongHyeong Park

Abstract

Let G be a compact Lie group acting transitively on Riemannian manifolds M and N and let p be an equivariant Riemannian submersion from M to N. We show that a smooth differential form on N has finite Fourier series on N if and only if the pull-back has finite Fourier series on M.

Received:
Aug 8, 2007
Published:
Aug 8, 2007
MSC Codes:
58J50
PACS:
02.20.Qs, 02.30.Em, 02.30.Nw, 02.40.Vh
Keywords:
eigenform, Finite Fourier Series, Laplace-Beltrami, Peter Weyl theorem, Laplace-Beltrami Operator

Related publications

inJournal
2008 Repository Open Access
Corey Dunn, Peter B. Gilkey and Jeong Hyeong Park

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

In: Journal of physics / A, 41 (2008) 13, p. 135204