Convex Integration and Legendrian Approximation of Curves
classification
🧮 math.DG
math.CA
keywords
convexcurveintegrationlegendrianapproximatedapproximationconstructivecontact
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Using convex integration we give a constructive proof of the well-known fact that every continuous curve in a contact $3$-manifold can be approximated by a Legendrian curve.
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