Add to ORKGLet $M$ be a non-compact connected manifold with a cocompact and properly discontinuous action of a discrete group $G$. We establish a Poincar\'{e}-Hopf theorem for a bounded vector field on $M$ satisfying a mild condition on zeros. As an application, we show that such a vector field must have infinitely many zeros whenever $G$ is amenable and the Euler characteristic of $M/G$ is non-zero.Comment: 10 page
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Quando um grupo de Lie nilpotente age sem pontos fixos sobre uma superfície compacta M, a caracterís...
We prove lower bounds on the growth of certain filtered Hopf algebras by means of a Poincaré-Birkhof...
In this paper we study functions and vector fields with isolated singularities on a $C(\mathbb{C}P^n...
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