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# On dangerous self-tangencies in families of conflict sets

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 Title: On dangerous self-tangencies in families of conflict sets Authors: van Manen, Martijn Browse this author Issue Date: 2005 Publisher: Department of Mathematics, Hokkaido University Journal Title: Hokkaido University Preprint Series in Mathematics Volume: 703 Start Page: 1 End Page: 13 Abstract: In this note we observe an interesting link between an intersection of two Legendrian manifolds in $ST^\ast\R^2$ - or dangerous self-tangencies, on the one hand and hyperbolic Morse transition of immersed curves on a torus on the other hand. The connection between these two arises naturally in the study of one-parameter families of conflict sets. Type: bulletin (article) URI: http://hdl.handle.net/2115/69508 Appears in Collections: 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics