2 papers
math.AP2019
Geometry of Bäcklund Transformations II: Monge-Ampère Invariants
Yuhao Hu
This article is concerned with the question: For which pairs of hyperbolic Euler-Lagrange systems in the plane does there exist a rank- Bäcklund transformation relating them? We…
math.DG2019
Geometry of Bäcklund Transformations I: Generality
Yuhao Hu
Using Cartan's Method of Equivalence, we prove an upper bound for the generality of generic rank-1 Bäcklund transformations relating two hyperbolic Monge-Ampère systems. In cases w…