On the eta-invariant of some hyperbolic 3-manifolds
β Scribed by Mingqing Ouyang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 845 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let = 2 Ξ½ 2. Let M be an even dimensional manifold with cyclic fundamental group Z . Assume the universal cover M is spin. We shall define N (M) = M Γ M/Z 2 and express the eta invariant of N (M) in terms of the eta invariant of M. We use this computation to determine certain equivariant connective
We construct compact hyperbolic 3-manifolds with totally geodesic boundary, arbitrarily many of the same volume. The fundamental groups of these 3-manifolds are groups with one defining relation. Our main result is a classification of these manifolds up to homeomorphism, resp. isometry.
AnSTRACT. This paper is devoted to the investigation of the geometry of left invariant metrics on the isometry group of the hyperbolic plane determined by the kinetic energy of a rigid particle system.