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

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

2008-03-14

arxiv.org/abs/0803.2139v2

Mathematics

Geometric Topology

7 pages, no figures; errors corrected and a section on an alternative formulation added

Scientific paper

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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