Address:
Jan Gregorovič, E. Čech Institute, Mathematical Institute of Charles University, Sokolovská 83, Praha 8 - Karlín, Czech Republic
Lenka Zalabová, Institute of Mathematics and Biomathematics, Faculty of Science, University of South Bohemia, Branišovská 1760, České Budějovice, 370 05, Czech Republic
E-mail:
jan.gregorovic@seznam.cz
lzalabova@gmail.com
Abstract: We construct series of examples of non-flat non-homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
AMSclassification: primary 53B15; secondary 53C10, 53C30, 58J70.
Keywords: parabolic geometries, geodesic symmetries, non-flat non-homogeneous examples, construction, generalized flag manifolds.
DOI: 10.5817/AM2016-5-291