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On the Decomposition Method and the Spectrum of the Dirac Operator

โœ Scribed by Evans, W. D.


Book ID
120102425
Publisher
Oxford University Press
Year
1970
Tongue
English
Weight
436 KB
Volume
s3-21
Category
Article
ISSN
0024-6115

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We represent the real hyperbolic space H" as the rank one homogeneous space Spin (1, n)/ Spin (n) and the spinor bundle S of H as the homogeneous bundle Spin (1, n) x (",V, where V, is the spinor representation space of Spin (n). The representation theoretic decomposition of L2(H, S) combined with t

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This paper concerns the number of eigenvalues of the Dirac operator in ] -1, 1[ and gives the number of linear indePendent eigenfunctions with total angular momentum k in ]/z, 1 [.