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Une généralisation du théorème de Hopf sur les champs sortants. (A generalization of the Hopf theorem for out going vector fields). (French) Zbl 0604.57020
Author’s summary: ”We try to give a natural generalization of the Hopf index theorem for a vector field X going out of a compact manifold D with boundary, when D is replaced by a real analytic set, limited to a compact with suitable boundary: it doesn’t work in general but it works when X is radial or preradial.”
Reviewer: K.Komiya

57R25 Vector fields, frame fields in differential topology
57N80 Stratifications in topological manifolds
32C05 Real-analytic manifolds, real-analytic spaces
58A35 Stratified sets