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arXiv · 0803.2139

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

Hiroaki Kamae·Masayuki Yamasaki
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Abstract

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.

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Hiroaki Kamae, Masayuki Yamasaki. 2008-03-20. Local Indices of a Vector Field at an Isolated Zero on the Boundary. https://arxiv.org/abs/0803.2139

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