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Vector fields near a generic submanifold
Authors:Goo Ishikawa  Shyüichi Izumiya  Kazuo Watanabe
Institution:(1) Department of Mathematics, Hokkaido University, 060 Sapporo, Japan
Abstract:We give a classification of generic vector fields near a generic submanifold. The normal forms are linear vector fields near the local model of the submanifold. Similar results are obtained for vector fields near a hypersurface with boundary and near a piecewise-smooth hypersurface.
Keywords:Primary 58C27  Secondary 58G20
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