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The dirac fundamental tone of the hyperbolic space

✍ Scribed by Christian Bär

Publisher
Springer
Year
1992
Tongue
English
Weight
152 KB
Volume
41
Category
Article
ISSN
0046-5755

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✦ Synopsis

ABS'FRACT. We show that the fundamental tone of D 2 is zero, where D is the classical Dirac operator on the hyperbolic space.

📜 SIMILAR VOLUMES

The Spectrum of the Dirac Operator on th
The Spectrum of the Dirac Operator on the Hyperbolic Space
✍ Ulrich Bunke 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 475 KB 👁 1 views

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