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. doi:10.1016/j.difgeo.2016.09.008.
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Basic information
Original name Geometric properties of homogeneous parabolic geometries with generalized symmetries
Authors GREGOROVIČ, Jan (203 Czech Republic, guarantor, belonging to the institution) and Lenka ZALABOVÁ (203 Czech Republic).
Edition Differential Geometry and its Applications, AMSTERDAM, Elsevier, 2016, 0926-2245.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.497
RIV identification code RIV/00216224:14310/16:00088699
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.difgeo.2016.09.008
UT WoS 000389092700022
Keywords in English Homogeneous parabolic geometries; Generalized symmetries; Holonomy reductions; Correspondence and twistor spaces; Invariant distributions; Invariant Weyl connections
Tags AKR, rivok
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 6/4/2017 16:59.
Abstract
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.
Links
GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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