Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds

DOI10.1007/s10440-012-9707-1zbMath1277.35191OpenAlexW2132894964MaRDI QIDQ384062

Fabrizio Pugliese, Gianni Manno, Dimitrii V. Alekseevsky, Ricardo J. Alonso-Blanco

Publication date: 25 November 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9707-1

zbMATH Keywords

special Lagrangian submanifoldsMonge-Ampère equationscharacteristics of PDEs(para-)Kähler manifoldscontact and symplectic manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Contact manifolds (general theory) (53D10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Complex Monge-Ampère operators (32W20) Monge-Ampère equations (35J96) PDEs on manifolds (35R01)

Related Items (2)

Finding solutions of parabolic Monge-Ampère equations by using the geometry of sections of the contact distribution ⋮ Contact manifolds, Lagrangian Grassmannians and PDEs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
• Local symmetries and conservation laws
• Geometric aspects of higher order variational principles on submanifolds
• Contact relative differential invariants for non generic parabolic Monge-Ampère equations
• Normal forms for Lagrangian distributions on 5-dimensional contact manifolds
• Calibrated geometries
• Split Special Lagrangian Geometry
• Some Canonical Structures of Cartan Planes in Jet Spaces and Applications
• Homogeneous para-Kähler Einstein manifolds
• On the geometry of Grassmannian equivalent connections
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• The moduli space of special Lagrangian submanifolds
• Integrable Equations of the Dispersionless Hirota type and Hypersurfaces in the Lagrangian Grassmannian
• Homogeneous locally conformally Kähler and Sasaki manifolds
• Optimal Transport
• A remark on Goldschmidt's theorem on formal integrability

This page was built for publication: Monge-Ampère equations on (para-)Kähler manifolds: from characteristic subspaces to special Lagrangian submanifolds