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Hyperbolic principal cycles on hypersurfaces ofIR4
Authors:Ronaldo A Garcia
Institution:(1) Departamento de Matemática, Universidade Federal de Goiás, Caixa Postal 131, 74001-970 Goiânia, Brazil
Abstract:The topological structure of lines of curvature of hypersurfaces ofIR 4 around principal cycles is studied in this work. Given a principal cycle we show how to hyperbolize it with a small deformation of the immersion.
Keywords:Lines of curvature  principal foliation  principal cycle  hyperbolicity
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