SYMMETRICAL PATTERNS OF GEODESICS AND AUTOMORPHISMS OF SURFACE GROUPS

Authors
SCHWARTZ RE
Citation
Re. Schwartz, SYMMETRICAL PATTERNS OF GEODESICS AND AUTOMORPHISMS OF SURFACE GROUPS, Inventiones Mathematicae, 128(1), 1997, pp. 177-199
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Inventiones Mathematicae → ACNP
ISSN journal
00209910
Volume
128
Issue
1
Year of publication
1997
Pages
177 - 199
Database
ISI
SICI code
0020-9910(1997)128:1<177:SPOGAA>2.0.ZU;2-E
Abstract
We prove a non-equivariant version of Mostow rigidity for symmetric pa tterns of geodesics in hyperbolic space. This result allows for a clas sification of pseudo-Anosov surface group automorphisms, based on the large scale geometric structure of their orbits.