We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.
@article{bwmeta1.element.doi-10_2478_s11533-013-0317-6, author = {Andreas \v Cap and Karin Melnick}, title = {Essential Killing fields of parabolic geometries: projective and conformal structures}, journal = {Open Mathematics}, volume = {11}, year = {2013}, pages = {2053-2061}, zbl = {1286.53017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0317-6} }
Andreas Čap; Karin Melnick. Essential Killing fields of parabolic geometries: projective and conformal structures. Open Mathematics, Tome 11 (2013) pp. 2053-2061. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0317-6/
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