THE BAO-RATIU EQUATIONS ON SURFACES

Authors
PALMER B
Citation
B. Palmer, THE BAO-RATIU EQUATIONS ON SURFACES, Proceedings - Royal Society. Mathematical and physical sciences, 449(1937), 1995, pp. 623-627
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences",Physics
Journal title
Proceedings - Royal Society. Mathematical and physical sciences → ACNP
ISSN journal
09628444
Volume
449
Issue
1937
Year of publication
1995
Pages
623 - 627
Database
ISI
SICI code
0962-8444(1995)449:1937<623:TBEOS>2.0.ZU;2-7
Abstract
We study the existence of asymptotic directions for the volume preserv ing diffeomorphism group of a compact surface Sigma, considered as a s ubmanifold of the full diffeomorphism group. We show that when the cur vature of Sigma is positive, there are no asymptotic directions. Relat ed results are obtained for domains with boundary.