Vector fields near a generic submanifold |
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Authors: | Goo Ishikawa Shyüichi Izumiya Kazuo Watanabe |
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Institution: | (1) Department of Mathematics, Hokkaido University, 060 Sapporo, Japan |
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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. |
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Keywords: | Primary 58C27 Secondary 58G20 |
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