Local Indices of a Vector Field at an Isolated Zero on the Boundary

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We define two types of local indices of a vector field at an isolated zero on the boundary, and prove Poincare-Hopf-type index theorems for certain vector fields on a compact smooth manifold which have only isolated zeros.
7 pages, no figures; errors corrected and a section on an alternative formulation added

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Geometric Topology, Algebraic Topology, 57R25; 55M25

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http://salesiana.dossiersoluciones.com/handle/123456789/157116

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2139
 http://arxiv.org/abs/0803.2139

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arXiv