Artículos de revistas
EQUIVARIANT PATH FIELDS ON TOPOLOGICAL MANIFOLDS
Fecha
2009Registro en:
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v.33, n.1, p.1-15, 2009
1230-3429
Autor
BORSARI, Lucilia
CARDONA, Fernanda
WONG, Peter
Institución
Resumen
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.