Equivariant path fields on topological manifolds
Keywords
Equivariant Euler characteristic, equivariant path fields, locally smooth G-manifoldsAbstract
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.Downloads
Published
2009-03-01
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1.
BORSARI, Lucilía D., CARDONA, Fernanda S. P. and WONG, Peter. Equivariant path fields on topological manifolds. Topological Methods in Nonlinear Analysis. Online. 1 March 2009. Vol. 33, no. 1, pp. 1 - 15. [Accessed 28 March 2024].
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