Detailed Information on Publication Record
2019
Constant curvature models in sub-Riemannian geometry
ALEKSEEVSKIY, Dmitry, Alexandr MEDVEDEV and Jan SLOVÁKBasic information
Original name
Constant curvature models in sub-Riemannian geometry
Authors
ALEKSEEVSKIY, Dmitry (826 United Kingdom of Great Britain and Northern Ireland, belonging to the institution), Alexandr MEDVEDEV (112 Belarus, belonging to the institution) and Jan SLOVÁK (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Geometry and Physics, Amsterdam, Elsevier Science BV, 2019, 0393-0440
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 1.056
RIV identification code
RIV/00216224:14310/19:00107198
Organization unit
Faculty of Science
UT WoS
000461538700017
Keywords in English
Curvature; SubRiemannian geometry; Lie algebra cohomology; Constant curvature spaces
Tags
International impact, Reviewed
Změněno: 21/1/2020 15:09, Mgr. Marie Šípková, DiS.
Abstract
V originále
Each sub-Riemannian geometry with bracket generating distribution enjoys a background structure determined by the distribution itself. At the same time, those geometries with constant sub-Riemannian symbols determine a unique Cartan connection leading to their principal invariants. We provide cohomological description of the structure of these curvature invariants in the cases where the background structure is one of the parabolic geometries. As an illustration, constant curvature models are discussed for certain sub-Riemannian geometries.
Links
| GA17-01171S, research and development project |
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