Conformally Fedosov manifolds

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Authors	EASTWOOD Michael George SLOVÁK Jan
Year of publication	2019
Type	Article in Periodical
Magazine / Source	Advances in Mathematics
MU Faculty or unit	Faculty of Science
Citation
Web	https://doi.org/10.1016/j.aim.2019.04.004
Doi	http://dx.doi.org/10.1016/j.aim.2019.04.004
Keywords	Fedosov manifold;Conformal differential geometry;Tractor calculus;BGG machinery
Description	We introduce the notion of a conformally Fedosov structure and construct an associated Cartan connection. When an appropriate curvature vanishes, this allows us to construct a family of natural differential complexes akin to the BGG complexes from parabolic geometry.
Related projects:	Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku