GRAVITATIONAL INSTANTONS OF CONSTANT CURVATURE

Citation
Jg. Ratcliffe et St. Tschantz, GRAVITATIONAL INSTANTONS OF CONSTANT CURVATURE, Classical and quantum gravity, 15(9), 1998, pp. 2613-2627
Citations number
7
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
15
Issue
9
Year of publication
1998
Pages
2613 - 2627
Database
ISI
SICI code
0264-9381(1998)15:9<2613:GIOCC>2.0.ZU;2-N
Abstract
In this paper. we classify all closed flat 4-manifolds that have a ref lective symmetry along a separating totally geodesic hypersurface. We also give examples of small-volume hyperbolic 4-manifolds that have a reflective symmetry along a separating totally geodesic hypersurface. Our examples are constructed by gluing together polytopes in hyperboli c 4-space.