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

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math.GT2008★ 1 cited

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

Hiroaki Kamae, Masayuki Yamasaki

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 smoot…