4 papers
The Hyperbolic Plane in
Vincent Borrelli, Roland Denis, Francis Lazarus +2
We build an explicit isometric embedding of the hyperbolic plane whose image is relatively compact. Its limit set is a closed curve o…
Holonomic approximation through convex integration
Patrick Massot, Mélanie Theillière
Convex integration and the holonomic approximation theorem are two well-known pillars of flexibility in differential topology and geometry. They may each seem to have their own fla…
Corrugation Process and -isometric maps
Mélanie Theillière
Convex Integration is a theory developed in the '70s by M. Gromov. This theory allows to solve families of differential problems satisfying some convex assumptions. From a subsolut…
Convex Integration Theory without Integration
Mélanie Theillière
We replace the usual Convex Integration formula by a Corrugation Process and introduce the notion of Kuiper differential relations. This notion provides a natural framework for the…