Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894457 | Journal of Geometry and Physics | 2008 | 11 Pages |
Abstract
Compact pseudo-Riemannian manifolds that have parallel Weyl tensor without being conformally flat or locally symmetric are known to exist in infinitely many dimensions greater than 4. We prove some general topological properties of such manifolds, namely, vanishing of the Euler characteristic and real Pontryagin classes, and infiniteness of the fundamental group. We also show that, in the Lorentzian case, each of them is at least 5-dimensional and admits a two-fold cover which is a bundle over the circle.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Andrzej Derdzinski, Witold Roter,