2 papers
math.DG2021
Second-order generalized Monge--Ampère equations on a plane and its geometric singular solutions
Masahiro Kawamata
In the present paper, we study some generalized Monge--Ampère equations in terms of special exterior differential systems on a jet space. Moreover, we construct geometric singular…
math.DG2020
On a generalization of Monge-Ampère equations and Monge-Ampère systems
Masahiro Kawamata, Kazuhiro Shibuya
We discuss Monge-Ampère equations from the view point of differential geometry. It is known that a Monge-Ampère equation corresponds to a special exterior differential system on a…