GREGOROVIČ, Jan and Lenka ZALABOVÁ. Geometric properties of homogeneous parabolic geometries with generalized symmetries. Differential Geometry and its Applications. AMSTERDAM: Elsevier, 2016, vol. 49, December, p. 388-422. ISSN 0926-2245. Available from: https://dx.doi.org/10.1016/j.difgeo.2016.09.008. |
Other formats:
BibTeX
LaTeX
RIS
@article{1373471, author = {Gregorovič, Jan and Zalabová, Lenka}, article_location = {AMSTERDAM}, article_number = {December}, doi = {http://dx.doi.org/10.1016/j.difgeo.2016.09.008}, keywords = {Homogeneous parabolic geometries; Generalized symmetries; Holonomy reductions; Correspondence and twistor spaces; Invariant distributions; Invariant Weyl connections}, language = {eng}, issn = {0926-2245}, journal = {Differential Geometry and its Applications}, title = {Geometric properties of homogeneous parabolic geometries with generalized symmetries}, volume = {49}, year = {2016} }
TY - JOUR ID - 1373471 AU - Gregorovič, Jan - Zalabová, Lenka PY - 2016 TI - Geometric properties of homogeneous parabolic geometries with generalized symmetries JF - Differential Geometry and its Applications VL - 49 IS - December SP - 388-422 EP - 388-422 PB - Elsevier SN - 09262245 KW - Homogeneous parabolic geometries KW - Generalized symmetries KW - Holonomy reductions KW - Correspondence and twistor spaces KW - Invariant distributions KW - Invariant Weyl connections N2 - We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpret them explicitly. For specific types of parabolic geometries, we prove that the reductions correspond to known generalizations of symmetric spaces. In addition, we illustrate our results on an explicit example and provide a complete classification of possible non-trivial cases. ER -
GREGOROVIČ, Jan and Lenka ZALABOVÁ. Geometric properties of homogeneous parabolic geometries with generalized symmetries. \textit{Differential Geometry and its Applications}. AMSTERDAM: Elsevier, 2016, vol.~49, December, p.~388-422. ISSN~0926-2245. Available from: https://dx.doi.org/10.1016/j.difgeo.2016.09.008.
|