Path geometries admit parametrized distinguished connections that enable elementary tractor calculus plus a unique subclass of Weyl structures linked to refined de Rham complexes.
BGG machinery and invariant operators,Adv
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Defines a normal Fefferman-type construction from (n+1)-dimensional path geometries to almost Grassmannian structures of type (2,n+1) with characterizations via parallel tractors and Weyl connections, plus a related non-normal construction from type (2,n) structures.
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Weyl structures for path geometries
Path geometries admit parametrized distinguished connections that enable elementary tractor calculus plus a unique subclass of Weyl structures linked to refined de Rham complexes.
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Two Fefferman-type constructions involving almost Grassmann structures and path geometries
Defines a normal Fefferman-type construction from (n+1)-dimensional path geometries to almost Grassmannian structures of type (2,n+1) with characterizations via parallel tractors and Weyl connections, plus a related non-normal construction from type (2,n) structures.