Non-rigid parabolic geometries of Monge type

DOI10.1016/j.aim.2015.01.021zbMath1377.17012arXiv1401.2174OpenAlexW2963370273MaRDI QIDQ2342653

Ian M. Anderson, Zhaohu Nie, Paweł~ Nurowski

Publication date: 29 April 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2174

zbMATH Keywords

infinitesimal symmetriesparabolic geometryharmonic curvaturegraded simple Lie algebrasMonge typestandard differential systems

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Exterior differential systems (Cartan theory) (58A15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

\(\mathbf{Sp}(3,\mathbb{R})\) Monge geometries in dimension 8 ⋮ Differential geometric aspects of causal structures ⋮ Homogeneous models of $C_{3}$ Monge geometries ⋮ Exceptionally simple PDE ⋮ Conic nonholonomic constraints on surfaces and control systems ⋮ The Cayley cubic and differential equations

Cites Work

• Emergence of the theory of Lie groups. An essay in the history of mathematics 1869--1926
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Invariant differential equations on homogeneous manifolds
• Introduction to Lie Algebras and Representation Theory
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