THE IDENTITY COMPONENT OF THE LEAF PRESERVING DIFFEOMORPHISM GROUP ISPERFECT

Authors
RYBICKI T
Citation
T. Rybicki, THE IDENTITY COMPONENT OF THE LEAF PRESERVING DIFFEOMORPHISM GROUP ISPERFECT, Monatshefte fuer Mathematik, 120(3-4), 1995, pp. 289-305
Citations number
24
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Monatshefte fuer Mathematik → ACNP
ISSN journal
00269255
Volume
120
Issue
3-4
Year of publication
1995
Pages
289 - 305
Database
ISI
SICI code
0026-9255(1995)120:3-4<289:TICOTL>2.0.ZU;2-4
Abstract
It is shown that for any smooth foliated manifold the identity compone nt of the group of all leaf preserving diffeomorphisms is perfect. Thi s result generalizes in a sense a well-known theorem of Thurston.