| ALEKSEEVSKIY, Dmitry, Alexandr MEDVEDEV and Jan SLOVÁK. Constant curvature models in sub-Riemannian geometry. Journal of Geometry and Physics. Amsterdam: Elsevier Science BV, 2019, vol. 138, April, p. 241-256. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2018.09.013. |
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@article{1471621,
author = {Alekseevskiy, Dmitry and Medvedev, Alexandr and Slovák, Jan},
article_location = {Amsterdam},
article_number = {April},
doi = {http://dx.doi.org/10.1016/j.geomphys.2018.09.013},
keywords = {Curvature; SubRiemannian geometry; Lie algebra cohomology; Constant curvature spaces},
language = {eng},
issn = {0393-0440},
journal = {Journal of Geometry and Physics},
title = {Constant curvature models in sub-Riemannian geometry},
url = {https://doi.org/10.1016/j.geomphys.2018.09.013},
volume = {138},
year = {2019}
}
TY - JOUR
ID - 1471621
AU - Alekseevskiy, Dmitry - Medvedev, Alexandr - Slovák, Jan
PY - 2019
TI - Constant curvature models in sub-Riemannian geometry
JF - Journal of Geometry and Physics
VL - 138
IS - April
SP - 241-256
EP - 241-256
PB - Elsevier Science BV
SN - 03930440
KW - Curvature
KW - SubRiemannian geometry
KW - Lie algebra cohomology
KW - Constant curvature spaces
UR - https://doi.org/10.1016/j.geomphys.2018.09.013
L2 - https://doi.org/10.1016/j.geomphys.2018.09.013
N2 - 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.
ER -
ALEKSEEVSKIY, Dmitry, Alexandr MEDVEDEV and Jan SLOVÁK. Constant curvature models in sub-Riemannian geometry. \textit{Journal of Geometry and Physics}. Amsterdam: Elsevier Science BV, 2019, vol.~138, April, p.~241-256. ISSN~0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2018.09.013.
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