Generic distance-squared mappings on plane curves
classification
🧮 math.DG
keywords
distance-squaredmappingsplanefunctionfunctionsgenericapplicationcomponent
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A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. Moreover, distance-squared mappings are naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. In this paper, compositions of a given plane curve and generic distance-squared mappings on the plane into the plane are investigated from the viewpoint of stability.
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