A construction of non-flat non-homogeneous symmetric parabolic geometries
Jan Gregorovič; Lenka Zalabová
Archivum Mathematicum (2016)
- Volume: 052, Issue: 5, page 291-302
- ISSN: 0044-8753
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topGregorovič, Jan, and Zalabová, Lenka. "A construction of non-flat non-homogeneous symmetric parabolic geometries." Archivum Mathematicum 052.5 (2016): 291-302. <http://eudml.org/doc/287581>.
@article{Gregorovič2016,
abstract = {We construct series of examples of non-flat non-homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.},
author = {Gregorovič, Jan, Zalabová, Lenka},
journal = {Archivum Mathematicum},
keywords = {parabolic geometries; geodesic symmetries; non-flat non-homogeneous examples; construction; generalized flag manifolds},
language = {eng},
number = {5},
pages = {291-302},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A construction of non-flat non-homogeneous symmetric parabolic geometries},
url = {http://eudml.org/doc/287581},
volume = {052},
year = {2016},
}
TY - JOUR
AU - Gregorovič, Jan
AU - Zalabová, Lenka
TI - A construction of non-flat non-homogeneous symmetric parabolic geometries
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 5
SP - 291
EP - 302
AB - We construct series of examples of non-flat non-homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
LA - eng
KW - parabolic geometries; geodesic symmetries; non-flat non-homogeneous examples; construction; generalized flag manifolds
UR - http://eudml.org/doc/287581
ER -
References
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- Gregorovič, J., 10.1016/j.difgeo.2012.06.006, Differential Geom. Appl. 38 (5) (2012), 450–476. (2012) Zbl1350.53068MR2966647DOI10.1016/j.difgeo.2012.06.006
- Gregorovič, J., Zalabová, L., 10.5817/AM2015-5-287, Arch. Math. (Brno) 51 (5) (2015), 287–296. (2015) Zbl1374.53080MR3449109DOI10.5817/AM2015-5-287
- Gregorovič, J., Zalabová, L., On automorphisms with natural tangent action on homogeneous parabolic geometries, J. Lie Theory 25 (2015), 677–715. (2015) MR3384992
- Gregorovič, J., Zalabová, L., 10.1016/j.difgeo.2016.09.008, Differential Geom. Appl. 49 (2016), 388–422. (2016) Zbl1352.53020MR3573842DOI10.1016/j.difgeo.2016.09.008
- Zalabová, L., 10.1007/s10455-009-9177-5, Ann. Global Anal. Geom. 37 (2) (2010), 125–141. (2010) Zbl1188.53026MR2578261DOI10.1007/s10455-009-9177-5
- Zalabová, L., A non-homogeneous, symmetric contact projective structure, Cent. Eur. J. Math. 12 (6) (2014), 879–886. (2014) Zbl1302.53058MR3179989
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