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Homogeneous Bundles and Universal Potentials

Published online by Cambridge University Press:  20 November 2018

H. D. Fegan
H. D. Fegan*
Affiliation:
Department of Mathematics and Statistics University of New Mexico Albuquerque, N.M. 87181
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Abstract

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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.

Keywords

58G25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 4 , 01 December 1986 , pp. 398 - 406
Copyright
Copyright © Canadian Mathematical Society 1986

References

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