We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.
@article{bwmeta1.element.doi-10_2478_s11533-013-0383-9, author = {Lenka Zalabov\'a}, title = {A non-homogeneous, symmetric contact projective structure}, journal = {Open Mathematics}, volume = {12}, year = {2014}, pages = {879-886}, zbl = {1302.53058}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0383-9} }
Lenka Zalabová. A non-homogeneous, symmetric contact projective structure. Open Mathematics, Tome 12 (2014) pp. 879-886. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0383-9/
[1] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009 | Zbl 1183.53002
[2] Fox D.J.F., Contact projective structures, Indiana Univ. Math. J., 2005, 54(6), 1547–1598 http://dx.doi.org/10.1512/iumj.2005.54.2603 | Zbl 1093.53083
[3] Gregorovič J., General construction of symmetric parabolic structures, Differential Geom. Appl., 2012, 30(5), 450–476 http://dx.doi.org/10.1016/j.difgeo.2012.06.006 | Zbl 06092689
[4] Gregorovič J., Zalabová L., Symmetric parabolic contact geometries and symmetric spaces, Transform. Groups, 2013, 18(3), 711–737 http://dx.doi.org/10.1007/s00031-013-9231-z | Zbl 1279.53075
[5] Podesta F., A class of symmetric spaces, Bull. Soc. Math. France, 1989, 117(3), 343–360 | Zbl 0697.53047
[6] Zalabová L., Parabolic symmetric spaces, Ann. Global Anal. Geom., 2010, 37(2), 125–141 http://dx.doi.org/10.1007/s10455-009-9177-5 | Zbl 1188.53026