A general method to construct invariant PDEs on homogeneous manifolds

DOI10.1142/S0219199720500893zbMath1485.58001OpenAlexW3101343696WikidataQ114072660 ScholiaQ114072660MaRDI QIDQ5066308

Gianni Manno, Jan Gutt, Giovanni Moreno, Dimitrii V. Alekseevsky

Publication date: 29 March 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199720500893

zbMATH Keywords

homogeneous manifoldsinvariant theoryjet spacesPDEs

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Jets in global analysis (58A20) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution
• Exceptionally simple PDE
• Lowest degree invariant second-order PDEs over rational homogeneous contact manifolds
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