Geodesic
Harmonic Spinors on Hyperbolic Space
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 257-262

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The purpose for this short note is to describe the space of harmonic spinors on hyperbolic n-space Hn . This is a natural continuation of the study of harmonic functions on Hn in [Minemura] and [Helgason]—these results were generalized in the form of Helgason's conjecture, proved in [KKMOOT],—and of [Gaillard 1, 2], where harmonic forms on Hn were considered. The connection between invariant differential equations on a Riemannian semisimple symmetric space G/K and homological aspects of the representation theory of G, as exemplified in (8) below, does not seem to have been previously mentioned. This note is divided into three main parts respectively dedicated to the statement of the results, some reminders, and the proofs. I thank the referee for having suggested various improvements.
DOI : 10.4153/CMB-1993-037-7
Mots-clés : 55R25, 58G25 
Gaillard, Pierre-Yves. Harmonic Spinors on Hyperbolic Space. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 257-262. doi: 10.4153/CMB-1993-037-7
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     year = {1993},
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