A NOTE ON OPEN 3-MANIFOLDS SUPPORTING FOLIATIONS BY PLANES
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
23/10/2013
23/10/2013
2012
|
| Resumo |
We show that if N, an open connected n-manifold with finitely generated fundamental group, is C-2 foliated by closed planes, then pi(1)(N) is a free group. This implies that if pi(1)(N) has an abelian subgroup of rank greater than one, then F has at least a nonclosed leaf. Next, we show that if N is three dimensional with fundamental group abelian of rank greater than one, then N is homeomorphic to T-2 x R. Furthermore, in this case we give a complete description of the foliation. FAPESP [2008/57607-6, 2009/17493-4] FAPESP CNPq CNPq |
| Identificador |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 140, n. 3, pp. 961-969, MAR, 2012 0002-9939 |
| Idioma(s) |
eng |
| Publicador |
AMER MATHEMATICAL SOC PROVIDENCE |
| Relação |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Direitos |
openAccess Copyright AMER MATHEMATICAL SOC |
| Palavras-Chave | #FOLIATION BY PLANES #OPEN MANIFOLDS #INCOMPRESSIBLE TORUS #FUNDAMENTAL GROUP #FREE GROUP #MATHEMATICS, APPLIED #MATHEMATICS |
| Tipo |
article original article publishedVersion |
