𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Dirac spectrum of Bieberbach manifolds

✍ Scribed by Frank Pfäffle


Book ID
104342938
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
179 KB
Volume
35
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.

✦ Synopsis


The Dirac spectra and the eta invariants of three-dimensional Bieberbach manifolds are computed. Compact connected three-dimensional spin manifolds admitting parallel non-vanishing spinors are identified as flat tori.


📜 SIMILAR VOLUMES


The Spectrum of Kleinian Manifolds
✍ Ulrich Bunke; Martin Olbrich 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 530 KB

We obtain the Plancherel theorem for L 2 (1"G), where G is a classical simple Lie group of real rank one and 1/G is convex cocompact discrete subgroup, and deduce its consequences for the spectrum of locally invariant differential operators on bundles over Kleinian manifolds. As the main tool, we de