Monge-Ampere equations and generalized complex geometry. The two-dimensional case
Bertrand Banos
Abstract
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Ampère equation of divergent type and, using the Gualtieri ∂ operator, we characterize the conservation laws and the generating function of such equation as generalized holomorphic objects.
Create a lesson
Related papers
Scalar curvature on Kähler blow-ups and systolic inequalities
Zehao Sha, Jian Wang
Strict Stability and Strict Minimality of Regular Area-Minimizing Hypercones: A Quantitative Characterization
Gongping Niu
Sharp partial regularity of Hamiltonian stationary and special Lagrangian graphs
Arunima Bhattacharya, Gerard Orriols, Anna Skorobogatova
Torus actions, almost non-negative curvature and fundamental groups
Michael Wiemeler
Optimal Transport and the ABP Method in Higher Codimension
Bang-Xian Han, Zhe-Feng Xu
An isoperimetric characterization of a new ADM-like mass for C0-asymptotically flat manifolds
Luca Benatti, Mattia Fogagnolo