Geodesic
Second Order Operators on a Compact Lie Group
Canadian journal of mathematics, Tome 57 (2005) no. 1, pp. 99-113

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

We describe the structure of the space of second order elliptic differential operators on a homogenous bundle over a compact Lie group. Subject to a technical condition, these operators are homotopic to the Laplacian. The technical condition is further investigated, with examples given where it holds and others where it does not. Since many spectral invariants are also homotopy invariants, these results provide information about the invariants of these operators.
DOI : 10.4153/CJM-2005-005-7
Mots-clés : 58J70, 43A77 
Fegan, H. D.; Steer, B. Second Order Operators on a Compact Lie Group. Canadian journal of mathematics, Tome 57 (2005) no. 1, pp. 99-113. doi: 10.4153/CJM-2005-005-7
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