TY - JOUR
T1 - Jet-determination of symmetries of parabolic geometries
AU - Kruglikov, Boris
AU - The, Dennis
N1 - Publisher Copyright:
© 2017, Springer-Verlag Berlin Heidelberg.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85018827143&partnerID=8YFLogxK
U2 - 10.1007/s00208-017-1545-z
DO - 10.1007/s00208-017-1545-z
M3 - Article
SN - 0025-5831
VL - 371
SP - 1575
EP - 1613
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -