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0111 · Apr 200919922001200920172026
6 results for Cartan-geometric

Mathematical theory of super fiber bundles and connections developed.

problem Modeling anticommuting fermionic fields in mathematical physics.
method Detailed introduction to super fiber bundles, relative supermanifolds, and connections; construction of parallel transport map.
result Construction and comparison of parallel transport map with other methods in the literature.

Classifies multiply-transitive (2,3,5)-distributions using modern Cartan geometry.

problem Classifying multiply-transitive (2,3,5)(2,3,5)-distributions.
method Modern Cartan-geometric approach, incorporating G2G_2 structure theory.
result Complete classifications in both complex and real settings, with full curvature and infinitesimal holonomy.