EQUIVARIANT PATH FIELDS ON TOPOLOGICAL MANIFOLDS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
|
| Resumo |
A classical theorem of H. Hopf asserts that a closed connected smooth manifold admits a nowhere vanishing vector field if and only if its Euler characteristic is zero. R. Brown generalized Hopf`s result to topological manifolds, replacing vector fields with path fields. In this note, we give an equivariant analog of Brown`s theorem for locally smooth G-manifolds where G is a finite group. National Science Foundation (NSF) National Science Foundation (NSF) |
| Identificador |
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v.33, n.1, p.1-15, 2009 1230-3429 |
| Idioma(s) |
eng |
| Publicador |
JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| Relação |
Topological Methods in Nonlinear Analysis |
| Direitos |
closedAccess Copyright JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
| Palavras-Chave | #Equivariant Euler characteristic #equivariant path fields #locally smooth G-manifolds #FIXED-POINT FREE #VECTOR-FIELDS #BUNDLES #SPACE #Mathematics |
| Tipo |
article original article publishedVersion |
