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math.DG2023
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…
math.DG2020
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…
math.DG2019
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…