Nearby in the stack

Convex Integration and Legendrian Approximation of Curves · arXivDesk

1507.07661Jul 28, 2015Final Version, to appear in Journal of Convex Analysis, 9 pages, 1 figure

Convex Integration and Legendrian Approximation of Curves

Norbert Hungerbühler, Thomas Mettler, Micha Wasem

Differential Geometry Classical Analysis and ODEs

Abstract

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.

Briefing

What this paper is actually doing

This is a heuristic sketch from the abstract. Sign in for a live briefing.

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.

GraduateNovelty 3/5

Researchers working in math.DG and adjacent areas.

Claims

The paper addresses: Convex Integration and Legendrian Approximation of Curves.
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.

Methods

Method details are not extracted without an AI key — open the PDF or HTML version.
Author comment: Final Version, to appear in Journal of Convex Analysis, 9 pages, 1 figure