Metrics with harmonic spinors

1996 ◽  
Vol 6 (6) ◽  
pp. 899-942 ◽  
Author(s):  
Christian Bär
Keyword(s):  
Harmonic Spinors

Harmonic Spinors on Hyperbolic Space

1993 ◽  
Vol 36 (3) ◽  
pp. 257-262 ◽  
Author(s):  
Pierre-Yves Gaillard
Keyword(s):  
Differential Equations ◽  
Symmetric Space ◽  
Representation Theory ◽  
Hyperbolic Space ◽  
Harmonic Functions ◽  
Short Note ◽  
Harmonic Forms ◽  
Semisimple Symmetric Space ◽  
Invariant Differential ◽  
Harmonic Spinors

AbstractThe purpose for this short note is to describe the space of harmonic spinors on hyperbolicn-spaceHn. This is a natural continuation of the study of harmonic functions onHnin [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 onHnwere considered. The connection between invariant differential equations on a Riemannian semisimple symmetric spaceG/Kand homological aspects of the representation theory ofG, 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.

scholarly journals Surgery and harmonic spinors

2009 ◽  
Vol 220 (2) ◽  
pp. 523-539 ◽  
Author(s):  
Bernd Ammann ◽  
Mattias Dahl ◽  
Emmanuel Humbert
Keyword(s):  
Harmonic Spinors

Index theorem for $\mathbb{Z}/2$-harmonic spinors

2018 ◽  
Vol 25 (5) ◽  
pp. 1645-1671
Author(s):  
Ryosuke Takahashi
Keyword(s):  
Index Theorem ◽  
Harmonic Spinors

scholarly journals Harmonic Spinors and Local Deformations of the Metric

2011 ◽  
Vol 18 (5) ◽  
pp. 927-936 ◽  
Author(s):  
Bernd Ammann ◽  
Mattias Dahl ◽  
Emmanuel Humbert
Keyword(s):  
Harmonic Spinors ◽  
Local Deformations
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