Geodesic
Homogeneous Bundles and Universal Potentials
Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 398-406

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This paper studies complex potentials on homogeneous bundles over a compact Lie group. It extends the previous work of V. Guillemin and A. Uribe on potentials isospectral to the zero potential. Then the notion of a universal potential is introduced, that is a potential which acts on sections by a group representation rather than as a scalar. Finally the inverse question of whether the spectral data of a complex potential on all bundles over S2 determines the potential is answered negatively.
DOI : 10.4153/CMB-1986-063-9
Mots-clés : 58G25 
Fegan, H. D. Homogeneous Bundles and Universal Potentials. Canadian mathematical bulletin, Tome 29 (1986) no. 4, pp. 398-406. doi: 10.4153/CMB-1986-063-9
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