Monge-Ampère Systems with Lagrangian Pairs

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• ISSN: 1815-0659
• Main Authors: Ishikawa, G., Machida, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147154
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Monge-Ampère Systems with Lagrangian Pairs / G. Ishikawa, Y. Machida // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 31 назв. — англ.

The classes of Monge-Ampère systems, decomposable and bi-decomposable Monge-Ampère systems, including equations for improper affine spheres and hypersurfaces of constant Gauss-Kronecker curvature are introduced. They are studied by the clear geometric setting of Lagrangian contact structures, based...