Gerd Schmalz University of New England (Australia)
CR-Manifolds, Differential Equations and Multicontact Structures
Cartan’s method of moving frames has been successfully applied to the study of CR-manifolds, their mappings
and invariants. For some types of CR-manifolds there is a close relation to the point-wise or contact geometry of
differential equations. This can be used to find CR-manifolds with special symmetries. The recently
introduced notion of multicontact structures provides a general framework comprising certain geometries
of differential equations and CR-manifolds which in turn give examples with many symmetries.
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