C Dunn et al 2008 J. Phys. A: Math. Theor. 41 135204 doi:10.1088/1751-8113/41/13/135204
Spectral geometry, homogeneous spaces and differential forms with finite Fourier series
C Dunn1, P Gilkey2 and J H Park3
Show affiliationsLet G be a compact Lie group acting transitively on Riemannian manifolds Mi and let π:M1 → M2 be a G-equivariant Riemannian submersion. We show that a smooth differential form 
on M2 has finite Fourier series on M2 if and only if the pull back π* has finite Fourier series on M1.
- PACS
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02.40.Ky Riemannian geometries
02.30.Lt Sequences, series, and summability
02.20.Qs General properties, structure, and representation of Lie groups
- MSC
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53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
- Subjects
- Dates
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Issue 13 (4 April 2008)
Received 9 August 2007, in final form 5 February 2008
Published 14 March 2008
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Spectral geometry, homogeneous spaces and differential forms with finite Fourier series
C Dunn et al 2008 J. Phys. A: Math. Theor. 41 135204
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