Pseudo-Riemannian and Hessian geometry related to Monge-Ampère structures

DOI10.5817/AM2022-5-329MaRDI QIDQ5878412

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Publication date: 21 February 2023

Published in: Archivum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Plücker embeddingMonge-Ampère equationHessian structureMonge-Ampère structureLychagin-Rubtsov metric

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15) Local Riemannian geometry (53B20)

Cites Work

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• Curvature of Hessian manifolds
• Complex solutions of Monge-Ampère equations
• Monge-Ampère equations and generalized complex geometry -- the two-dimensional case
• Compatible structures on Lie algebroids and Monge-Ampère operators
• Geometry of Monge-Ampère structures
• Monge-Ampère Grassmannians, characteristic classes and all that
• Holomorphic structures in hydrodynamical models of nearly geostrophic flow
• Monge–Ampère structures and the geometry of incompressible flows
• CONTACT GEOMETRY AND NON-LINEAR SECOND-ORDER DIFFERENTIAL EQUATIONS
• A classification of Monge-Ampère equations
• Examples of quaternionic and Kähler structures in Hamiltonian models of nearly geostrophic flow
• THE CURVATURE OF A HESSIAN METRIC

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