New symmetry dimensions for higher order ODEs are identified.
arXiv research
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Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space. The relevant models in 3 dimensions include Einstein gravity in Chern-Simons form, as well as a new formula…
Two constructions link path geometries to almost Grassmann structures.
Mathematical theory of super fiber bundles and connections developed.
Classifies multiply-transitive (2,3,5)-distributions using modern Cartan geometry.
Unified geometric interpretation of statistical estimation inequalities.