Local Indices of a Vector Field at an Isolated Zero on the Boundary
classification
🧮 math.GT
math.AT
keywords
isolatedvectorboundaryfieldindiceslocalzerocertain
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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.
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