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Jet-determination of symmetries of parabolic geometries

Permanent link
https://hdl.handle.net/10037/13008
DOI
https://doi.org/10.1007/s00208-017-1545-z
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Accepted manuscript version (PDF)
Date
2017-04-24
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Kruglikov, Boris; The, Dennis
Abstract
We establish 2-jet determinacy for the symmetry algebra of the underlying structure of any (complex or real) parabolic geometry. At non-flat points, we prove that the symmetry algebra is in fact 1-jet determined. Moreover, we prove 1-jet determinacy at any point for a variety of non-flat parabolic geometries—in particular torsion-free, parabolic contact, and several other classes.
Description
Accepted manuscript version. Published version available in Mathematische Annalen (2017), p.1-39.
Publisher
Springer Verlag
Citation
Kruglikov B. & The, D. (2017). Jet-determination of symmetries of parabolic geometries. Mathematische Annalen, 1-39. https://doi.org/10.1007/s00208-017-1545-z
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