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Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE

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Publication:3115849
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DOI10.1112/plms/pdr023zbMath1250.53018arXiv1009.1364OpenAlexW4229940365MaRDI QIDQ3115849

Dennis The

Publication date: 11 February 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1364


zbMATH Keywords

Monge-Ampère equationDupin cyclideLagrangian GrassmanniansLorentzian conformal structure


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local submanifolds (53B25)


Related Items (5)

Quartic differentials and harmonic maps in conformal surface geometry ⋮ Lowest degree invariant second-order PDEs over rational homogeneous contact manifolds ⋮ An introduction to completely exceptional second order scalar partial differential equations ⋮ Contact manifolds, Lagrangian Grassmannians and PDEs ⋮ Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution




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