GREGOROVIČ, Jan and Lenka ZALABOVÁ. On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries. Journal of Lie Theory. Lemgo (Germany): Heldermann Verlag, 2015, vol. 25, No 3, p. 677-715. ISSN 0949-5932.
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Basic information
Original name On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries
Authors GREGOROVIČ, Jan (203 Czech Republic, guarantor, belonging to the institution) and Lenka ZALABOVÁ (203 Czech Republic).
Edition Journal of Lie Theory, Lemgo (Germany), Heldermann Verlag, 2015, 0949-5932.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Germany
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.440
RIV identification code RIV/00216224:14310/15:00086893
Organization unit Faculty of Science
UT WoS 000361749800003
Keywords in English Parabolic geometries; homogeneous spaces; automorphisms with fixed points; harmonic curvature restrictions
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 7/4/2016 14:57.
Abstract
We consider automorphisms of homogeneous parabolic geometries with a fixed point. Parabolic geometries carry the distinguished distributions and we study those automorphisms which enjoy natural actions on the distributions at the fixed points. We describe the sets of such automorphisms on homogeneous parabolic geometries in detail and classify whether there are non flat homogeneous parabolic geometries carrying such automorphisms. We present two general constructions of such geometries and we provide complete classifications for the types (G, P) of the parabolic geometries that have G simple and the automorphisms are of order 2.
Links
EE2.3.20.0003, research and development projectName: Algebraické metody v geometrii s potenciálem k aplikacím
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