Geodesic
First Order Operators on Manifolds With a Group Action
Canadian journal of mathematics, Tome 48 (1996) no. 4, pp. 758-776

Voir la notice de l'article provenant de la source Cambridge University Press

We investigate questions of spectral symmetry for certain first order differential operators acting on sections of bundles over manifolds which have a group action. We show that if the manifold is in fact a group we have simple spectral symmetry for all homogeneous operators. Furthermore if the manifold is not necessarily a group but has a compact Lie group of rank 2 or greater acting on it by isometries with discrete isotropy groups, and let D be a split invariant elliptic first order differential operator, then D has equivariant spectral symmetry.
DOI : 10.4153/CJM-1996-039-6
Mots-clés : 58G35, 57S25 
Fegan, H. D.; Steer, B. First Order Operators on Manifolds With a Group Action. Canadian journal of mathematics, Tome 48 (1996) no. 4, pp. 758-776. doi: 10.4153/CJM-1996-039-6
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