Applications of Canonical Relations in Generic Differential Geometry
نویسنده
چکیده
Conflict sets are loci of intersecting wavefronts emanating from l different surfaces. We show that generically conflict sets are Legendrian: locally they admit the structure of wavefronts. Simple stable singularities for this problem in Rn occur when 0 ≤ n − l ≤ 4. Other related sets, such as kite curves and centre sets are also defined and discussed. Throughout canonical relations are used as an essential tool to carry out several of these geometrical constructions. INTRODUCTION The symmetry set of a manifold M ⊂ R is defined as the closure of the set in u ∈ R where the distance function
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تاریخ انتشار 2002