Dept. Math, Hokkaido Univ. EPrints Server

On dangerous self-tangencies in families of conflict sets

Preprint Series # 703
van Manen, Martijn On dangerous self-tangencies in families of conflict sets. (2005);

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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.

Item Type:Preprint
Additional Information:20
Uncontrolled Keywords:legendrian singularities
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:880